GGW-mod2: Factor Analysis
- Setup
- Data preparation
- Data examination
- Study 1 (2015-12-15, 2 conditions, between-subjects)
- Study 2 (2016-01-12, 2 conditions, between-subjects - REPLICATION)
- Study 3 (2016-01-10, 2 conditions, within-subjects)
- Study 4 (2016-01-14, 21 conditions, between-subjects)
Data preparation
## Warning in ifelse(as.numeric(as.character(structure(c(48L, 47L, 50L, 43L, :
## NAs introduced by coercion## Warning in ifelse(as.numeric(as.character(structure(c(48L, 47L, 50L, 43L, :
## NAs introduced by coercion## Warning in ifelse(as.numeric(as.character(structure(c(48L, 47L, 50L, 43L, :
## NAs introduced by coercion## Warning in ifelse(as.numeric(as.character(structure(c(44L, 48L, 49L, 45L, :
## NAs introduced by coercion## Warning in ifelse(as.numeric(as.character(structure(c(44L, 48L, 49L, 45L, :
## NAs introduced by coercion## Warning in ifelse(as.numeric(as.character(structure(c(44L, 48L, 49L, 45L, :
## NAs introduced by coercion## Warning in Ops.factor(d_clean_4[, i], 4): '-' not meaningful for factorsData examination
Study 1 (2015-12-15, 2 conditions, between-subjects)
Demographics
## Warning in mutate_impl(.data, dots): NAs introduced by coercion| did_not_finish | failed_catch_trial | did_not_provide_yob | too_young | TOTAL_excluded | TOTAL_participated | OVERALL_TOTAL |
|---|---|---|---|---|---|---|
| 14 | 19 | 15 | 0 | 48 | 405 | 453 |
| condition | n |
|---|---|
| beetle | 200 |
| robot | 205 |
| all | 405 |
| condition | min_duration | max_duration | median_duration | mean_duration | sd_duration |
|---|---|---|---|---|---|
| beetle | 0.77 | 119.12 | 2.77 | 3.92 | 8.50 |
| robot | 0.83 | 15.77 | 2.58 | 3.24 | 2.11 |
| all | 0.77 | 119.12 | 2.67 | 3.58 | 6.16 |
## Joining by: c("condition", "min_age", "max_age", "median_age", "mean_age", "sd_age")## Warning: joining character vector and factor, coercing into character
## vector| condition | min_age | max_age | median_age | mean_age | sd_age |
|---|---|---|---|---|---|
| beetle | 19 | 70 | 31 | 34.24 | 10.64 |
| robot | 20 | 75 | 32 | 35.11 | 11.20 |
| all | 19 | 75 | 32 | 34.68 | 10.92 |
| condition | m | f | other |
|---|---|---|---|
| beetle | 119 | 81 | 0 |
| robot | 121 | 82 | 2 |
| all | 240 | 163 | 2 |
| condition | asian_east | asian_other | asian_south | black | hispanic | middle_eastern | multiracial | native_american | other_prefno | pac_islander | white |
|---|---|---|---|---|---|---|---|---|---|---|---|
| beetle | 20 | 0 | 6 | 8 | 9 | 1 | 11 | 1 | 1 | 1 | 142 |
| robot | 16 | 2 | 2 | 15 | 9 | 1 | 9 | 1 | 1 | 1 | 148 |
| all | 36 | 2 | 8 | 23 | 18 | 2 | 20 | 2 | 2 | 2 | 290 |
| condition | buddhism | christianity | hinduism | islam | judaism | multireligious | none | other | other_prefno |
|---|---|---|---|---|---|---|---|---|---|
| beetle | 3 | 81 | 2 | 2 | 4 | 0 | 101 | 3 | 4 |
| robot | 2 | 87 | 0 | 0 | 5 | 3 | 100 | 3 | 5 |
| all | 5 | 168 | 2 | 2 | 9 | 3 | 201 | 6 | 9 |
Exploratory factor analysis
EFA: BEETLE condition
Step 1: Determine how many factors to extract
Step 2: Run EFA without rotation
## Factor Analysis using method = minres
## Call: fa(r = d1_beetle, nfactors = nfactors_d1_beetle, rotate = "none",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 h2 u2 com
## happy 0.80 0.07 0.65 0.35 1.0
## depressed 0.83 -0.21 0.73 0.27 1.1
## fear 0.56 0.43 0.50 0.50 1.9
## angry 0.72 0.11 0.53 0.47 1.0
## calm 0.68 0.34 0.58 0.42 1.5
## sounds 0.27 0.48 0.30 0.70 1.6
## seeing 0.22 0.60 0.41 0.59 1.3
## temperature 0.28 0.60 0.44 0.56 1.4
## odors 0.31 0.51 0.35 0.65 1.6
## depth 0.41 0.39 0.32 0.68 2.0
## computations 0.59 -0.30 0.43 0.57 1.5
## thoughts 0.76 0.12 0.60 0.40 1.1
## reasoning 0.80 -0.02 0.64 0.36 1.0
## remembering 0.56 0.34 0.43 0.57 1.7
## beliefs 0.75 -0.37 0.69 0.31 1.5
## hungry 0.23 0.67 0.51 0.49 1.2
## tired 0.53 0.50 0.53 0.47 2.0
## pain 0.40 0.63 0.56 0.44 1.7
## nauseated 0.74 0.19 0.59 0.41 1.1
## safe 0.59 0.35 0.46 0.54 1.6
## love 0.83 -0.17 0.72 0.28 1.1
## recognizing 0.69 0.11 0.49 0.51 1.0
## communicating 0.51 0.28 0.33 0.67 1.6
## guilt 0.79 -0.35 0.74 0.26 1.4
## disrespected 0.79 -0.30 0.71 0.29 1.3
## free_will 0.57 0.30 0.42 0.58 1.5
## choices 0.55 0.45 0.51 0.49 1.9
## self_restraint 0.75 -0.03 0.56 0.44 1.0
## intentions 0.59 0.38 0.49 0.51 1.7
## goal 0.52 0.38 0.41 0.59 1.8
## conscious 0.63 0.30 0.49 0.51 1.4
## self_aware 0.68 0.18 0.49 0.51 1.1
## desires 0.63 0.28 0.48 0.52 1.4
## embarrassed 0.76 -0.45 0.78 0.22 1.6
## emo_recog 0.80 -0.32 0.74 0.26 1.3
## joy 0.83 0.01 0.69 0.31 1.0
## morality 0.73 -0.26 0.60 0.40 1.2
## personality 0.79 -0.09 0.63 0.37 1.0
## pleasure 0.67 0.38 0.60 0.40 1.6
## pride 0.84 -0.31 0.81 0.19 1.3
##
## MR1 MR2
## SS loadings 16.88 5.08
## Proportion Var 0.42 0.13
## Cumulative Var 0.42 0.55
## Proportion Explained 0.77 0.23
## Cumulative Proportion 0.77 1.00
##
## Mean item complexity = 1.4
## Test of the hypothesis that 2 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 33.83 with Chi Square of 6252.29
## The degrees of freedom for the model are 701 and the objective function was 6.46
##
## The root mean square of the residuals (RMSR) is 0.04
## The df corrected root mean square of the residuals is 0.04
##
## The harmonic number of observations is 200 with the empirical chi square 565.19 with prob < 1
## The total number of observations was 200 with MLE Chi Square = 1185.72 with prob < 1.7e-27
##
## Tucker Lewis Index of factoring reliability = 0.901
## RMSEA index = 0.065 and the 90 % confidence intervals are 0.053 NA
## BIC = -2528.4
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2
## Correlation of scores with factors 0.99 0.96
## Multiple R square of scores with factors 0.98 0.92
## Minimum correlation of possible factor scores 0.96 0.84Step 3: Run EFA with oblimin rotation
## Loading required namespace: GPArotation## Factor Analysis using method = minres
## Call: fa(r = d1_beetle, nfactors = nfactors_d1_beetle, rotate = "oblimin",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 h2 u2 com
## happy 0.60 0.35 0.65 0.35 1.6
## depressed 0.82 0.08 0.73 0.27 1.0
## fear 0.15 0.64 0.50 0.50 1.1
## angry 0.50 0.36 0.53 0.47 1.8
## calm 0.30 0.59 0.58 0.42 1.5
## sounds -0.13 0.59 0.30 0.70 1.1
## seeing -0.26 0.70 0.41 0.59 1.3
## temperature -0.21 0.72 0.44 0.56 1.2
## odors -0.12 0.63 0.35 0.65 1.1
## depth 0.05 0.54 0.32 0.68 1.0
## computations 0.69 -0.11 0.43 0.57 1.0
## thoughts 0.53 0.39 0.60 0.40 1.8
## reasoning 0.67 0.25 0.64 0.36 1.3
## remembering 0.20 0.55 0.43 0.57 1.3
## beliefs 0.87 -0.12 0.69 0.31 1.0
## hungry -0.30 0.78 0.51 0.49 1.3
## tired 0.07 0.70 0.53 0.47 1.0
## pain -0.13 0.79 0.56 0.44 1.1
## nauseated 0.46 0.45 0.59 0.41 2.0
## safe 0.22 0.56 0.46 0.54 1.3
## love 0.80 0.11 0.72 0.28 1.0
## recognizing 0.48 0.35 0.49 0.51 1.8
## communicating 0.21 0.46 0.33 0.67 1.4
## guilt 0.89 -0.09 0.74 0.26 1.0
## disrespected 0.86 -0.04 0.71 0.29 1.0
## free_will 0.24 0.51 0.42 0.58 1.4
## choices 0.12 0.66 0.51 0.49 1.1
## self_restraint 0.63 0.23 0.56 0.44 1.3
## intentions 0.20 0.59 0.49 0.51 1.2
## goal 0.14 0.57 0.41 0.59 1.1
## conscious 0.29 0.53 0.49 0.51 1.5
## self_aware 0.42 0.42 0.49 0.51 2.0
## desires 0.31 0.51 0.48 0.52 1.7
## embarrassed 0.94 -0.20 0.78 0.22 1.1
## emo_recog 0.88 -0.05 0.74 0.26 1.0
## joy 0.67 0.30 0.69 0.31 1.4
## morality 0.78 -0.01 0.60 0.40 1.0
## personality 0.71 0.18 0.63 0.37 1.1
## pleasure 0.27 0.63 0.60 0.40 1.4
## pride 0.91 -0.03 0.81 0.19 1.0
##
## MR1 MR2
## SS loadings 12.23 9.73
## Proportion Var 0.31 0.24
## Cumulative Var 0.31 0.55
## Proportion Explained 0.56 0.44
## Cumulative Proportion 0.56 1.00
##
## With factor correlations of
## MR1 MR2
## MR1 1.0 0.4
## MR2 0.4 1.0
##
## Mean item complexity = 1.3
## Test of the hypothesis that 2 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 33.83 with Chi Square of 6252.29
## The degrees of freedom for the model are 701 and the objective function was 6.46
##
## The root mean square of the residuals (RMSR) is 0.04
## The df corrected root mean square of the residuals is 0.04
##
## The harmonic number of observations is 200 with the empirical chi square 565.19 with prob < 1
## The total number of observations was 200 with MLE Chi Square = 1185.72 with prob < 1.7e-27
##
## Tucker Lewis Index of factoring reliability = 0.901
## RMSEA index = 0.065 and the 90 % confidence intervals are 0.053 NA
## BIC = -2528.4
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2
## Correlation of scores with factors 0.99 0.97
## Multiple R square of scores with factors 0.97 0.95
## Minimum correlation of possible factor scores 0.95 0.89Factor 1
| F1 | |
|---|---|
| embarrassed | 0.9440523 |
| pride | 0.9081533 |
| guilt | 0.8906603 |
| emo_recog | 0.8782222 |
| beliefs | 0.8736313 |
| disrespected | 0.8566385 |
| depressed | 0.8240501 |
| love | 0.7994946 |
| morality | 0.7811438 |
| personality | 0.7089780 |
| computations | 0.6939023 |
| joy | 0.6695277 |
| reasoning | 0.6652942 |
| self_restraint | 0.6305370 |
| happy | 0.6034206 |
| thoughts | 0.5276238 |
| angry | 0.5021990 |
| recognizing | 0.4820272 |
| nauseated | 0.4634142 |
| self_aware | 0.4178148 |
| desires | 0.3107010 |
| calm | 0.3036958 |
| conscious | 0.2902389 |
| pleasure | 0.2676393 |
| free_will | 0.2449147 |
| safe | 0.2222686 |
| communicating | 0.2085438 |
| remembering | 0.2045590 |
| intentions | 0.2038521 |
| fear | 0.1453854 |
| goal | 0.1418002 |
| choices | 0.1187407 |
| tired | 0.0685213 |
| depth | 0.0458845 |
| odors | -0.1191542 |
| sounds | -0.1290391 |
| pain | -0.1312234 |
| temperature | -0.2136876 |
| seeing | -0.2571438 |
| hungry | -0.3005762 |
Factor 2
| F2 | |
|---|---|
| pain | 0.7926481 |
| hungry | 0.7752471 |
| temperature | 0.7170307 |
| tired | 0.6977625 |
| seeing | 0.6959057 |
| choices | 0.6580347 |
| fear | 0.6351036 |
| pleasure | 0.6283244 |
| odors | 0.6270289 |
| intentions | 0.5942473 |
| calm | 0.5879397 |
| sounds | 0.5857267 |
| goal | 0.5745682 |
| safe | 0.5627134 |
| remembering | 0.5500451 |
| depth | 0.5422707 |
| conscious | 0.5307070 |
| free_will | 0.5100530 |
| desires | 0.5099156 |
| communicating | 0.4623823 |
| nauseated | 0.4546992 |
| self_aware | 0.4206549 |
| thoughts | 0.3919741 |
| angry | 0.3616163 |
| recognizing | 0.3510067 |
| happy | 0.3465516 |
| joy | 0.2979975 |
| reasoning | 0.2510172 |
| self_restraint | 0.2287306 |
| personality | 0.1776459 |
| love | 0.1145687 |
| depressed | 0.0758815 |
| morality | -0.0097803 |
| pride | -0.0281165 |
| disrespected | -0.0391258 |
| emo_recog | -0.0511680 |
| guilt | -0.0851762 |
| computations | -0.1070958 |
| beliefs | -0.1245751 |
| embarrassed | -0.2021787 |
Factor 3 (not applicable)
EFA: ROBOT condition
Step 1: Determine how many factors to extract
Step 2: Run EFA without rotation
## Factor Analysis using method = minres
## Call: fa(r = d1_robot, nfactors = nfactors_d1_robot, rotate = "none",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 h2 u2 com
## happy 0.88 -0.03 0.78 0.22 1.0
## depressed 0.86 -0.12 0.76 0.24 1.0
## fear 0.91 -0.03 0.84 0.16 1.0
## angry 0.88 -0.02 0.77 0.23 1.0
## calm 0.64 0.12 0.42 0.58 1.1
## sounds 0.00 0.63 0.39 0.61 1.0
## seeing 0.14 0.71 0.53 0.47 1.1
## temperature 0.07 0.69 0.48 0.52 1.0
## odors 0.13 0.52 0.29 0.71 1.1
## depth 0.18 0.62 0.42 0.58 1.2
## computations -0.09 0.56 0.33 0.67 1.0
## thoughts 0.63 0.25 0.46 0.54 1.3
## reasoning 0.35 0.60 0.48 0.52 1.6
## remembering 0.12 0.69 0.49 0.51 1.1
## beliefs 0.73 0.12 0.54 0.46 1.1
## hungry 0.70 0.01 0.49 0.51 1.0
## tired 0.78 0.08 0.62 0.38 1.0
## pain 0.81 0.00 0.65 0.35 1.0
## nauseated 0.83 -0.14 0.71 0.29 1.1
## safe 0.75 0.07 0.57 0.43 1.0
## love 0.93 -0.06 0.88 0.12 1.0
## recognizing 0.13 0.77 0.62 0.38 1.1
## communicating 0.19 0.65 0.45 0.55 1.2
## guilt 0.80 -0.05 0.65 0.35 1.0
## disrespected 0.78 -0.05 0.61 0.39 1.0
## free_will 0.77 0.08 0.60 0.40 1.0
## choices 0.22 0.63 0.44 0.56 1.2
## self_restraint 0.47 0.34 0.34 0.66 1.8
## intentions 0.53 0.27 0.35 0.65 1.5
## goal 0.16 0.62 0.41 0.59 1.1
## conscious 0.68 0.08 0.47 0.53 1.0
## self_aware 0.64 0.22 0.46 0.54 1.2
## desires 0.77 0.07 0.59 0.41 1.0
## embarrassed 0.94 -0.11 0.90 0.10 1.0
## emo_recog 0.60 0.36 0.49 0.51 1.6
## joy 0.87 -0.03 0.75 0.25 1.0
## morality 0.53 0.36 0.41 0.59 1.8
## personality 0.62 0.38 0.52 0.48 1.7
## pleasure 0.93 -0.06 0.88 0.12 1.0
## pride 0.89 -0.04 0.79 0.21 1.0
##
## MR1 MR2
## SS loadings 16.82 5.81
## Proportion Var 0.42 0.15
## Cumulative Var 0.42 0.57
## Proportion Explained 0.74 0.26
## Cumulative Proportion 0.74 1.00
##
## Mean item complexity = 1.1
## Test of the hypothesis that 2 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 39 with Chi Square of 7403.31
## The degrees of freedom for the model are 701 and the objective function was 8.85
##
## The root mean square of the residuals (RMSR) is 0.05
## The df corrected root mean square of the residuals is 0.05
##
## The harmonic number of observations is 205 with the empirical chi square 717.63 with prob < 0.32
## The total number of observations was 205 with MLE Chi Square = 1667.76 with prob < 1.6e-80
##
## Tucker Lewis Index of factoring reliability = 0.836
## RMSEA index = 0.088 and the 90 % confidence intervals are 0.077 NA
## BIC = -2063.67
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2
## Correlation of scores with factors 1.00 0.97
## Multiple R square of scores with factors 0.99 0.93
## Minimum correlation of possible factor scores 0.98 0.87Step 3: Run EFA with oblimin rotation
## Factor Analysis using method = minres
## Call: fa(r = d1_robot, nfactors = nfactors_d1_robot, rotate = "oblimin",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 h2 u2 com
## happy 0.89 -0.02 0.78 0.22 1.0
## depressed 0.89 -0.11 0.76 0.24 1.0
## fear 0.92 -0.02 0.84 0.16 1.0
## angry 0.88 -0.01 0.77 0.23 1.0
## calm 0.61 0.13 0.42 0.58 1.1
## sounds -0.15 0.64 0.39 0.61 1.1
## seeing -0.02 0.73 0.53 0.47 1.0
## temperature -0.09 0.71 0.48 0.52 1.0
## odors 0.01 0.54 0.29 0.71 1.0
## depth 0.04 0.64 0.42 0.58 1.0
## computations -0.22 0.58 0.33 0.67 1.3
## thoughts 0.57 0.26 0.46 0.54 1.4
## reasoning 0.21 0.62 0.48 0.52 1.2
## remembering -0.04 0.70 0.49 0.51 1.0
## beliefs 0.70 0.13 0.54 0.46 1.1
## hungry 0.70 0.02 0.49 0.51 1.0
## tired 0.76 0.09 0.62 0.38 1.0
## pain 0.81 0.01 0.65 0.35 1.0
## nauseated 0.86 -0.13 0.71 0.29 1.0
## safe 0.74 0.08 0.57 0.43 1.0
## love 0.95 -0.06 0.88 0.12 1.0
## recognizing -0.04 0.79 0.62 0.38 1.0
## communicating 0.04 0.66 0.45 0.55 1.0
## guilt 0.81 -0.04 0.65 0.35 1.0
## disrespected 0.79 -0.04 0.61 0.39 1.0
## free_will 0.75 0.09 0.60 0.40 1.0
## choices 0.07 0.64 0.44 0.56 1.0
## self_restraint 0.39 0.36 0.34 0.66 2.0
## intentions 0.46 0.28 0.35 0.65 1.7
## goal 0.01 0.64 0.41 0.59 1.0
## conscious 0.66 0.09 0.47 0.53 1.0
## self_aware 0.59 0.23 0.46 0.54 1.3
## desires 0.75 0.08 0.59 0.41 1.0
## embarrassed 0.96 -0.10 0.90 0.10 1.0
## emo_recog 0.52 0.37 0.49 0.51 1.8
## joy 0.87 -0.02 0.75 0.25 1.0
## morality 0.44 0.37 0.41 0.59 1.9
## personality 0.53 0.39 0.52 0.48 1.8
## pleasure 0.95 -0.06 0.88 0.12 1.0
## pride 0.90 -0.03 0.79 0.21 1.0
##
## MR1 MR2
## SS loadings 16.30 6.33
## Proportion Var 0.41 0.16
## Cumulative Var 0.41 0.57
## Proportion Explained 0.72 0.28
## Cumulative Proportion 0.72 1.00
##
## With factor correlations of
## MR1 MR2
## MR1 1.00 0.21
## MR2 0.21 1.00
##
## Mean item complexity = 1.2
## Test of the hypothesis that 2 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 39 with Chi Square of 7403.31
## The degrees of freedom for the model are 701 and the objective function was 8.85
##
## The root mean square of the residuals (RMSR) is 0.05
## The df corrected root mean square of the residuals is 0.05
##
## The harmonic number of observations is 205 with the empirical chi square 717.63 with prob < 0.32
## The total number of observations was 205 with MLE Chi Square = 1667.76 with prob < 1.6e-80
##
## Tucker Lewis Index of factoring reliability = 0.836
## RMSEA index = 0.088 and the 90 % confidence intervals are 0.077 NA
## BIC = -2063.67
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2
## Correlation of scores with factors 1.00 0.97
## Multiple R square of scores with factors 0.99 0.94
## Minimum correlation of possible factor scores 0.98 0.87Factor 1
| F1 | |
|---|---|
| embarrassed | 0.9641037 |
| pleasure | 0.9472343 |
| love | 0.9468109 |
| fear | 0.9186321 |
| pride | 0.8961650 |
| happy | 0.8884707 |
| depressed | 0.8861983 |
| angry | 0.8801143 |
| joy | 0.8722513 |
| nauseated | 0.8587571 |
| guilt | 0.8137563 |
| pain | 0.8070472 |
| disrespected | 0.7866940 |
| tired | 0.7636259 |
| free_will | 0.7528521 |
| desires | 0.7489788 |
| safe | 0.7358679 |
| hungry | 0.6985322 |
| beliefs | 0.6973072 |
| conscious | 0.6566758 |
| calm | 0.6100252 |
| self_aware | 0.5905387 |
| thoughts | 0.5728410 |
| personality | 0.5299597 |
| emo_recog | 0.5173974 |
| intentions | 0.4623337 |
| morality | 0.4430973 |
| self_restraint | 0.3930128 |
| reasoning | 0.2074653 |
| choices | 0.0715817 |
| depth | 0.0418538 |
| communicating | 0.0404534 |
| goal | 0.0129035 |
| odors | 0.0087600 |
| seeing | -0.0222526 |
| remembering | -0.0392736 |
| recognizing | -0.0431046 |
| temperature | -0.0895492 |
| sounds | -0.1470091 |
| computations | -0.2151674 |
Factor 2
| F2 | |
|---|---|
| recognizing | 0.7937630 |
| seeing | 0.7316885 |
| temperature | 0.7069351 |
| remembering | 0.7047323 |
| communicating | 0.6634524 |
| choices | 0.6449227 |
| sounds | 0.6426030 |
| goal | 0.6389682 |
| depth | 0.6377965 |
| reasoning | 0.6208181 |
| computations | 0.5765235 |
| odors | 0.5351102 |
| personality | 0.3922183 |
| morality | 0.3720688 |
| emo_recog | 0.3695686 |
| self_restraint | 0.3567544 |
| intentions | 0.2826026 |
| thoughts | 0.2590255 |
| self_aware | 0.2300412 |
| beliefs | 0.1344118 |
| calm | 0.1272897 |
| conscious | 0.0910407 |
| tired | 0.0874804 |
| free_will | 0.0860418 |
| safe | 0.0814668 |
| desires | 0.0813625 |
| hungry | 0.0159091 |
| pain | 0.0088341 |
| angry | -0.0103937 |
| joy | -0.0181458 |
| fear | -0.0223205 |
| happy | -0.0223783 |
| pride | -0.0321841 |
| guilt | -0.0404905 |
| disrespected | -0.0406588 |
| pleasure | -0.0575347 |
| love | -0.0579180 |
| embarrassed | -0.1023760 |
| depressed | -0.1136898 |
| nauseated | -0.1340358 |
Factor 3 (not applicable)
EFA: ALL conditions
Step 1: Determine how many factors to extract
Step 2: Run EFA without rotation
## Factor Analysis using method = minres
## Call: fa(r = d1_all, nfactors = nfactors_d1_all, rotate = "none", fm = "minres",
## cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 MR3 h2 u2 com
## happy 0.85 0.11 -0.09 0.74 0.26 1.1
## depressed 0.79 0.28 -0.24 0.75 0.25 1.4
## fear 0.81 -0.32 0.09 0.76 0.24 1.3
## angry 0.82 0.03 -0.06 0.67 0.33 1.0
## calm 0.78 -0.07 0.10 0.62 0.38 1.0
## sounds 0.11 0.20 0.57 0.38 0.62 1.3
## seeing 0.32 -0.01 0.64 0.51 0.49 1.5
## temperature 0.22 0.11 0.65 0.48 0.52 1.3
## odors 0.40 -0.11 0.47 0.39 0.61 2.1
## depth 0.24 0.27 0.52 0.40 0.60 2.0
## computations -0.37 0.78 0.17 0.78 0.22 1.5
## thoughts 0.77 0.13 0.06 0.61 0.39 1.1
## reasoning 0.34 0.59 0.29 0.55 0.45 2.1
## remembering 0.07 0.55 0.54 0.59 0.41 2.0
## beliefs 0.58 0.47 -0.19 0.60 0.40 2.2
## hungry 0.69 -0.62 0.09 0.87 0.13 2.0
## tired 0.79 -0.34 0.14 0.76 0.24 1.4
## pain 0.76 -0.52 0.13 0.87 0.13 1.8
## nauseated 0.82 -0.05 -0.01 0.68 0.32 1.0
## safe 0.78 -0.15 0.09 0.63 0.37 1.1
## love 0.80 0.31 -0.22 0.79 0.21 1.5
## recognizing 0.08 0.68 0.45 0.67 0.33 1.8
## communicating 0.21 0.42 0.49 0.46 0.54 2.3
## guilt 0.71 0.35 -0.28 0.70 0.30 1.8
## disrespected 0.70 0.36 -0.25 0.68 0.32 1.8
## free_will 0.77 -0.17 0.05 0.63 0.37 1.1
## choices 0.39 0.22 0.50 0.46 0.54 2.3
## self_restraint 0.58 0.33 0.09 0.45 0.55 1.7
## intentions 0.67 0.00 0.19 0.48 0.52 1.2
## goal 0.27 0.32 0.50 0.42 0.58 2.3
## conscious 0.78 -0.16 0.08 0.64 0.36 1.1
## self_aware 0.73 0.07 0.08 0.55 0.45 1.0
## desires 0.80 -0.13 0.06 0.66 0.34 1.1
## embarrassed 0.69 0.42 -0.34 0.76 0.24 2.2
## emo_recog 0.54 0.54 -0.03 0.58 0.42 2.0
## joy 0.85 0.17 -0.11 0.76 0.24 1.1
## morality 0.40 0.55 0.02 0.47 0.53 1.8
## personality 0.64 0.41 0.04 0.58 0.42 1.7
## pleasure 0.85 -0.14 0.06 0.74 0.26 1.1
## pride 0.76 0.39 -0.26 0.80 0.20 1.8
##
## MR1 MR2 MR3
## SS loadings 16.20 5.08 3.63
## Proportion Var 0.40 0.13 0.09
## Cumulative Var 0.40 0.53 0.62
## Proportion Explained 0.65 0.20 0.15
## Cumulative Proportion 0.65 0.85 1.00
##
## Mean item complexity = 1.6
## Test of the hypothesis that 3 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 36.39 with Chi Square of 14185
## The degrees of freedom for the model are 663 and the objective function was 3.81
##
## The root mean square of the residuals (RMSR) is 0.03
## The df corrected root mean square of the residuals is 0.03
##
## The harmonic number of observations is 405 with the empirical chi square 500.89 with prob < 1
## The total number of observations was 405 with MLE Chi Square = 1475.92 with prob < 8.7e-64
##
## Tucker Lewis Index of factoring reliability = 0.928
## RMSEA index = 0.057 and the 90 % confidence intervals are 0.051 0.059
## BIC = -2504.66
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy
## MR1 MR2 MR3
## Correlation of scores with factors 0.99 0.97 0.95
## Multiple R square of scores with factors 0.98 0.95 0.89
## Minimum correlation of possible factor scores 0.97 0.90 0.79Step 3: Run EFA with oblimin rotation
## Factor Analysis using method = minres
## Call: fa(r = d1_all, nfactors = nfactors_d1_all, rotate = "oblimin",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 MR3 h2 u2 com
## happy 0.64 0.37 0.04 0.74 0.26 1.6
## depressed 0.82 0.15 -0.06 0.75 0.25 1.1
## fear 0.20 0.77 0.05 0.76 0.24 1.2
## angry 0.55 0.43 0.03 0.67 0.33 1.9
## calm 0.35 0.55 0.15 0.62 0.38 1.9
## sounds -0.18 0.07 0.64 0.38 0.62 1.2
## seeing -0.25 0.39 0.66 0.51 0.49 2.0
## temperature -0.23 0.23 0.70 0.48 0.52 1.4
## odors -0.15 0.47 0.47 0.39 0.61 2.2
## depth -0.02 0.07 0.63 0.40 0.60 1.0
## computations 0.21 -0.83 0.41 0.78 0.22 1.6
## thoughts 0.51 0.35 0.18 0.61 0.39 2.1
## reasoning 0.41 -0.21 0.53 0.55 0.45 2.2
## remembering 0.06 -0.26 0.73 0.59 0.41 1.3
## beliefs 0.80 -0.12 0.03 0.60 0.40 1.0
## hungry -0.08 0.96 -0.06 0.87 0.13 1.0
## tired 0.15 0.79 0.10 0.76 0.24 1.1
## pain 0.01 0.93 0.02 0.87 0.13 1.0
## nauseated 0.46 0.52 0.05 0.68 0.32 2.0
## safe 0.30 0.61 0.11 0.63 0.37 1.5
## love 0.84 0.13 -0.03 0.79 0.21 1.1
## recognizing 0.21 -0.39 0.69 0.67 0.33 1.8
## communicating 0.08 -0.09 0.65 0.46 0.54 1.1
## guilt 0.85 0.03 -0.08 0.70 0.30 1.0
## disrespected 0.83 0.03 -0.05 0.68 0.32 1.0
## free_will 0.31 0.61 0.07 0.63 0.37 1.5
## choices 0.05 0.20 0.62 0.46 0.54 1.2
## self_restraint 0.51 0.08 0.26 0.45 0.55 1.5
## intentions 0.27 0.45 0.25 0.48 0.52 2.3
## goal 0.04 0.04 0.63 0.42 0.58 1.0
## conscious 0.30 0.62 0.11 0.64 0.36 1.5
## self_aware 0.43 0.39 0.18 0.55 0.45 2.3
## desires 0.34 0.60 0.09 0.66 0.34 1.6
## embarrassed 0.92 -0.06 -0.12 0.76 0.24 1.0
## emo_recog 0.71 -0.16 0.21 0.58 0.42 1.3
## joy 0.69 0.31 0.03 0.76 0.24 1.4
## morality 0.60 -0.23 0.26 0.47 0.53 1.7
## personality 0.64 0.03 0.24 0.58 0.42 1.3
## pleasure 0.37 0.63 0.09 0.74 0.26 1.6
## pride 0.89 0.03 -0.05 0.80 0.20 1.0
##
## MR1 MR2 MR3
## SS loadings 10.74 8.75 5.42
## Proportion Var 0.27 0.22 0.14
## Cumulative Var 0.27 0.49 0.62
## Proportion Explained 0.43 0.35 0.22
## Cumulative Proportion 0.43 0.78 1.00
##
## With factor correlations of
## MR1 MR2 MR3
## MR1 1.00 0.37 0.31
## MR2 0.37 1.00 0.07
## MR3 0.31 0.07 1.00
##
## Mean item complexity = 1.5
## Test of the hypothesis that 3 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 36.39 with Chi Square of 14185
## The degrees of freedom for the model are 663 and the objective function was 3.81
##
## The root mean square of the residuals (RMSR) is 0.03
## The df corrected root mean square of the residuals is 0.03
##
## The harmonic number of observations is 405 with the empirical chi square 500.89 with prob < 1
## The total number of observations was 405 with MLE Chi Square = 1475.92 with prob < 8.7e-64
##
## Tucker Lewis Index of factoring reliability = 0.928
## RMSEA index = 0.057 and the 90 % confidence intervals are 0.051 0.059
## BIC = -2504.66
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy
## MR1 MR2 MR3
## Correlation of scores with factors 0.98 0.98 0.96
## Multiple R square of scores with factors 0.97 0.97 0.92
## Minimum correlation of possible factor scores 0.94 0.94 0.83Factor 1
| F1 | |
|---|---|
| embarrassed | 0.9228937 |
| pride | 0.8945059 |
| guilt | 0.8484749 |
| love | 0.8417446 |
| disrespected | 0.8264310 |
| depressed | 0.8156898 |
| beliefs | 0.7980020 |
| emo_recog | 0.7113350 |
| joy | 0.6932942 |
| personality | 0.6376583 |
| happy | 0.6369713 |
| morality | 0.6021238 |
| angry | 0.5508657 |
| self_restraint | 0.5130066 |
| thoughts | 0.5054220 |
| nauseated | 0.4582169 |
| self_aware | 0.4305748 |
| reasoning | 0.4070638 |
| pleasure | 0.3670847 |
| calm | 0.3484908 |
| desires | 0.3421277 |
| free_will | 0.3070096 |
| conscious | 0.2982672 |
| safe | 0.2982458 |
| intentions | 0.2662791 |
| recognizing | 0.2091420 |
| computations | 0.2053265 |
| fear | 0.2040970 |
| tired | 0.1452956 |
| communicating | 0.0848910 |
| remembering | 0.0558812 |
| choices | 0.0484128 |
| goal | 0.0442204 |
| pain | 0.0099079 |
| depth | -0.0240432 |
| hungry | -0.0776165 |
| odors | -0.1526497 |
| sounds | -0.1841127 |
| temperature | -0.2295365 |
| seeing | -0.2483799 |
Factor 2
| F2 | |
|---|---|
| hungry | 0.9588119 |
| pain | 0.9271916 |
| tired | 0.7888848 |
| fear | 0.7652879 |
| pleasure | 0.6345984 |
| conscious | 0.6153394 |
| free_will | 0.6120139 |
| safe | 0.6081339 |
| desires | 0.5955359 |
| calm | 0.5456005 |
| nauseated | 0.5203679 |
| odors | 0.4671979 |
| intentions | 0.4473883 |
| angry | 0.4267135 |
| seeing | 0.3932155 |
| self_aware | 0.3899387 |
| happy | 0.3736663 |
| thoughts | 0.3517709 |
| joy | 0.3145155 |
| temperature | 0.2316157 |
| choices | 0.1951185 |
| depressed | 0.1490315 |
| love | 0.1340875 |
| self_restraint | 0.0789698 |
| depth | 0.0736936 |
| sounds | 0.0701252 |
| goal | 0.0355477 |
| pride | 0.0340212 |
| personality | 0.0330797 |
| disrespected | 0.0265947 |
| guilt | 0.0265457 |
| embarrassed | -0.0613526 |
| communicating | -0.0884732 |
| beliefs | -0.1203219 |
| emo_recog | -0.1550780 |
| reasoning | -0.2119770 |
| morality | -0.2263495 |
| remembering | -0.2622649 |
| recognizing | -0.3909548 |
| computations | -0.8289663 |
Factor 3
| F3 | |
|---|---|
| remembering | 0.7278710 |
| temperature | 0.7023329 |
| recognizing | 0.6896204 |
| seeing | 0.6559154 |
| communicating | 0.6533678 |
| sounds | 0.6438999 |
| depth | 0.6339327 |
| goal | 0.6326415 |
| choices | 0.6152179 |
| reasoning | 0.5296171 |
| odors | 0.4656534 |
| computations | 0.4076095 |
| self_restraint | 0.2588627 |
| morality | 0.2563432 |
| intentions | 0.2543466 |
| personality | 0.2449917 |
| emo_recog | 0.2097829 |
| self_aware | 0.1804555 |
| thoughts | 0.1793403 |
| calm | 0.1493519 |
| safe | 0.1088986 |
| conscious | 0.1051998 |
| tired | 0.0963354 |
| desires | 0.0896815 |
| pleasure | 0.0879222 |
| free_will | 0.0708412 |
| fear | 0.0531607 |
| nauseated | 0.0503223 |
| happy | 0.0359296 |
| beliefs | 0.0348745 |
| joy | 0.0326060 |
| angry | 0.0285722 |
| pain | 0.0227799 |
| love | -0.0323704 |
| pride | -0.0472171 |
| disrespected | -0.0529288 |
| hungry | -0.0565903 |
| depressed | -0.0573755 |
| guilt | -0.0782081 |
| embarrassed | -0.1173760 |
Predict latent variable structure for CFA in follow-up studies
Extract latent variable structure
## Joining by: "order"
## Joining by: "order"| order | mc_MR1 | loading_MR1 | mc_MR2 | loading_MR2 | mc_MR3 | loading_MR3 |
|---|---|---|---|---|---|---|
| 1 | embarrassed | 0.92 | hungry | 0.96 | remembering | 0.73 |
| 2 | pride | 0.89 | pain | 0.93 | temperature | 0.70 |
| 3 | guilt | 0.85 | tired | 0.79 | recognizing | 0.69 |
| 4 | love | 0.84 | fear | 0.77 | seeing | 0.66 |
| 5 | disrespected | 0.83 | pleasure | 0.63 | communicating | 0.65 |
| 6 | depressed | 0.82 | conscious | 0.62 | sounds | 0.64 |
| 7 | beliefs | 0.80 | free_will | 0.61 | depth | 0.63 |
| 8 | emo_recog | 0.71 | safe | 0.61 | goal | 0.63 |
| 9 | joy | 0.69 | desires | 0.60 | choices | 0.62 |
| 10 | personality | 0.64 | calm | 0.55 | reasoning | 0.53 |
| 11 | happy | 0.64 | nauseated | 0.52 | computations | 0.41 |
| 12 | morality | 0.60 | odors | 0.47 | NA | NA |
| 13 | angry | 0.55 | intentions | 0.45 | NA | NA |
| 14 | self_restraint | 0.51 | NA | NA | NA | NA |
| 15 | thoughts | 0.51 | NA | NA | NA | NA |
| 16 | self_aware | 0.43 | NA | NA | NA | NA |
ModelDD: Data-driven, three factors (MR1, MR2, MR3; see Study 1)
## lavaan (0.5-20) converged normally after 68 iterations
##
## Number of observations 405
##
## Estimator ML
## Minimum Function Test Statistic 3776.867
## Degrees of freedom 737
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 14736.878
## Degrees of freedom 780
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.782
## Tucker-Lewis Index (TLI) 0.769
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -26944.450
## Loglikelihood unrestricted model (H1) -25056.016
##
## Number of free parameters 83
## Akaike (AIC) 54054.900
## Bayesian (BIC) 54387.223
## Sample-size adjusted Bayesian (BIC) 54123.853
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.101
## 90 Percent Confidence Interval 0.098 0.104
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.134
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## MR1 =~
## embarrassed 1.000
## pride 1.211 0.053 22.852 0.000
## guilt 0.941 0.046 20.657 0.000
## love 1.377 0.058 23.554 0.000
## disrespected 1.021 0.051 19.849 0.000
## depressed 1.195 0.054 22.301 0.000
## beliefs 1.023 0.060 17.114 0.000
## emo_recog 1.101 0.071 15.614 0.000
## joy 1.486 0.067 22.126 0.000
## personality 1.228 0.072 17.070 0.000
## happy 1.446 0.068 21.123 0.000
## morality 0.897 0.075 11.946 0.000
## angry 1.391 0.075 18.656 0.000
## self_restraint 1.087 0.077 14.048 0.000
## thoughts 1.375 0.079 17.439 0.000
## self_aware 1.281 0.082 15.708 0.000
## MR2 =~
## hungry 1.000
## pain 0.965 0.045 21.652 0.000
## tired 0.857 0.040 21.254 0.000
## fear 0.909 0.042 21.780 0.000
## pleasure 0.764 0.036 21.430 0.000
## conscious 0.756 0.040 19.037 0.000
## free_will 0.762 0.040 18.831 0.000
## safe 0.764 0.040 19.266 0.000
## desires 0.758 0.039 19.579 0.000
## calm 0.712 0.038 18.709 0.000
## nauseated 0.583 0.030 19.122 0.000
## odors 0.429 0.047 9.050 0.000
## intentions 0.633 0.043 14.840 0.000
## MR3 =~
## remembering 1.000
## temperature 0.654 0.057 11.419 0.000
## recognizing 1.034 0.067 15.343 0.000
## seeing 0.653 0.063 10.386 0.000
## communicating 0.840 0.061 13.750 0.000
## sounds 0.567 0.053 10.737 0.000
## depth 0.822 0.068 12.068 0.000
## goal 0.857 0.068 12.582 0.000
## choices 0.782 0.065 12.083 0.000
## reasoning 0.840 0.063 13.264 0.000
## computations 0.809 0.087 9.312 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## MR1 ~~
## MR2 1.492 0.147 10.123 0.000
## MR3 0.500 0.089 5.641 0.000
## MR2 ~~
## MR3 0.494 0.183 2.694 0.007
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## embarrassed 0.417 0.032 13.204 0.000
## pride 0.401 0.032 12.664 0.000
## guilt 0.380 0.029 13.234 0.000
## love 0.441 0.036 12.387 0.000
## disrespected 0.521 0.039 13.375 0.000
## depressed 0.440 0.034 12.841 0.000
## beliefs 0.856 0.062 13.708 0.000
## emo_recog 1.294 0.094 13.830 0.000
## joy 0.706 0.055 12.892 0.000
## personality 1.243 0.091 13.712 0.000
## happy 0.819 0.062 13.139 0.000
## morality 1.708 0.122 14.029 0.000
## angry 1.202 0.089 13.543 0.000
## self_restraint 1.675 0.120 13.929 0.000
## thoughts 1.459 0.107 13.677 0.000
## self_aware 1.722 0.125 13.823 0.000
## hungry 2.305 0.175 13.183 0.000
## pain 1.361 0.108 12.575 0.000
## tired 1.180 0.093 12.724 0.000
## fear 1.171 0.094 12.523 0.000
## pleasure 0.900 0.071 12.661 0.000
## conscious 1.475 0.111 13.294 0.000
## free_will 1.560 0.117 13.332 0.000
## safe 1.439 0.109 13.250 0.000
## desires 1.327 0.101 13.185 0.000
## calm 1.394 0.104 13.353 0.000
## nauseated 0.860 0.065 13.278 0.000
## odors 3.577 0.254 14.106 0.000
## intentions 2.307 0.167 13.811 0.000
## remembering 1.874 0.157 11.938 0.000
## temperature 2.030 0.152 13.331 0.000
## recognizing 1.813 0.155 11.694 0.000
## seeing 2.635 0.195 13.539 0.000
## communicating 1.858 0.147 12.602 0.000
## sounds 1.816 0.135 13.474 0.000
## depth 2.731 0.207 13.172 0.000
## goal 2.607 0.200 13.025 0.000
## choices 2.464 0.187 13.167 0.000
## reasoning 2.106 0.165 12.796 0.000
## computations 5.360 0.391 13.709 0.000
## MR1 0.925 0.090 10.233 0.000
## MR2 4.558 0.459 9.930 0.000
## MR3 2.454 0.287 8.546 0.000ModelWDM: Theoretical, three factors (AFFECT, AUTONOMY, PERCEPTION; see Weisman et al., 2015)
## lavaan (0.5-20) converged normally after 45 iterations
##
## Number of observations 405
##
## Estimator ML
## Minimum Function Test Statistic 619.030
## Degrees of freedom 101
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 3817.954
## Degrees of freedom 120
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.860
## Tucker-Lewis Index (TLI) 0.834
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -11579.778
## Loglikelihood unrestricted model (H1) -11270.263
##
## Number of free parameters 35
## Akaike (AIC) 23229.557
## Bayesian (BIC) 23369.693
## Sample-size adjusted Bayesian (BIC) 23258.633
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.113
## 90 Percent Confidence Interval 0.104 0.121
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.094
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## affect =~
## happy 1.000
## depressed 0.712 0.032 22.463 0.000
## fear 1.064 0.058 18.257 0.000
## angry 0.939 0.041 23.042 0.000
## calm 0.957 0.049 19.501 0.000
## joy 0.988 0.035 28.454 0.000
## perception =~
## sounds 1.000
## seeing 1.393 0.121 11.506 0.000
## temperature 1.304 0.112 11.665 0.000
## odors 1.299 0.126 10.275 0.000
## depth 1.228 0.125 9.856 0.000
## autonomy =~
## free_will 1.000
## choices 0.699 0.067 10.466 0.000
## self_restraint 0.661 0.055 11.924 0.000
## intentions 0.952 0.067 14.196 0.000
## goal 0.586 0.071 8.261 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## affect ~~
## perception 0.461 0.096 4.820 0.000
## autonomy 2.026 0.189 10.693 0.000
## perception ~~
## autonomy 0.855 0.124 6.880 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## happy 0.475 0.047 10.057 0.000
## depressed 0.607 0.048 12.601 0.000
## fear 2.362 0.178 13.302 0.000
## angry 0.982 0.079 12.472 0.000
## calm 1.617 0.123 13.130 0.000
## joy 0.523 0.050 10.520 0.000
## sounds 1.557 0.128 12.202 0.000
## seeing 1.648 0.158 10.461 0.000
## temperature 1.297 0.129 10.041 0.000
## odors 2.647 0.217 12.217 0.000
## depth 2.810 0.224 12.542 0.000
## free_will 1.819 0.159 11.403 0.000
## choices 2.802 0.209 13.400 0.000
## self_restraint 1.726 0.133 13.007 0.000
## intentions 1.970 0.165 11.909 0.000
## goal 3.589 0.260 13.780 0.000
## affect 2.277 0.193 11.775 0.000
## perception 1.048 0.161 6.519 0.000
## autonomy 2.387 0.283 8.433 0.000ModelGGW: Theoretical, two factors (AGENCY, EXPERIENCE; see Gray et al., 2007)
## lavaan (0.5-20) converged normally after 43 iterations
##
## Number of observations 405
##
## Estimator ML
## Minimum Function Test Statistic 1816.523
## Degrees of freedom 134
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 5604.203
## Degrees of freedom 153
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.691
## Tucker-Lewis Index (TLI) 0.648
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -12787.515
## Loglikelihood unrestricted model (H1) -11879.253
##
## Number of free parameters 37
## Akaike (AIC) 25649.030
## Bayesian (BIC) 25797.174
## Sample-size adjusted Bayesian (BIC) 25679.768
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.176
## 90 Percent Confidence Interval 0.169 0.183
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.147
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## experience =~
## hungry 1.000
## fear 0.989 0.060 16.405 0.000
## pain 1.002 0.064 15.593 0.000
## pleasure 0.882 0.051 17.236 0.000
## angry 0.752 0.047 16.016 0.000
## desires 0.879 0.054 16.302 0.000
## personality 0.512 0.044 11.582 0.000
## conscious 0.856 0.055 15.606 0.000
## pride 0.496 0.036 13.749 0.000
## embarrassed 0.384 0.032 12.178 0.000
## joy 0.713 0.045 15.859 0.000
## agency =~
## self_restraint 1.000
## morality 0.818 0.068 12.040 0.000
## remembering 0.592 0.090 6.538 0.000
## emo_recog 0.924 0.068 13.662 0.000
## goal 0.744 0.091 8.155 0.000
## communicating 0.678 0.082 8.239 0.000
## thoughts 1.075 0.078 13.787 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## experience ~~
## agency 1.599 0.185 8.661 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## hungry 3.374 0.251 13.433 0.000
## fear 1.525 0.122 12.496 0.000
## pain 2.102 0.162 12.941 0.000
## pleasure 0.845 0.072 11.739 0.000
## angry 1.020 0.080 12.734 0.000
## desires 1.253 0.100 12.564 0.000
## personality 1.724 0.125 13.822 0.000
## conscious 1.526 0.118 12.935 0.000
## pride 0.902 0.067 13.497 0.000
## embarrassed 0.828 0.060 13.752 0.000
## joy 0.971 0.076 12.816 0.000
## self_restraint 1.245 0.112 11.150 0.000
## morality 1.434 0.115 12.455 0.000
## remembering 3.795 0.273 13.883 0.000
## emo_recog 1.115 0.099 11.292 0.000
## goal 3.566 0.261 13.645 0.000
## communicating 2.889 0.212 13.630 0.000
## thoughts 1.445 0.130 11.162 0.000
## experience 3.488 0.428 8.149 0.000
## agency 1.523 0.187 8.139 0.000Compare models (if possible)
# compare models (iff continuous and ML)
customVuong(d1_all_fitDD, d1_all_fitWDM, d1_all_fitGGW)## $mod1_v_mod2
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 118.088, p = <2e-16
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -70.258, p = 1
## H1B: Model 2 fits better than Model 1
## z = -70.258, p = < 2.2e-16
##
## $mod1_v_mod3
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 71.223, p = <2e-16
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -83.355, p = 1
## H1B: Model 2 fits better than Model 1
## z = -83.355, p = < 2.2e-16
##
## $mod3_v_mod2
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 26.088, p = <2e-16
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -11.750, p = 1
## H1B: Model 2 fits better than Model 1
## z = -11.750, p = < 2.2e-16
##
## $winner
## [1] "WDM"Study 2 (2016-01-12, 2 conditions, between-subjects - REPLICATION)
Demographics
| did_not_finish | failed_catch_trial | did_not_provide_yob | too_young | TOTAL_excluded | TOTAL_participated | OVERALL_TOTAL |
|---|---|---|---|---|---|---|
| 0 | 0 | 13 | 0 | 13 | 406 | 419 |
| condition | n |
|---|---|
| beetle | 202 |
| robot | 204 |
| all | 406 |
| condition | min_duration | max_duration | median_duration | mean_duration | sd_duration |
|---|---|---|---|---|---|
| beetle | 0.92 | 28.95 | 2.69 | 3.54 | 3.17 |
| robot | 1.00 | 16.72 | 2.52 | 3.18 | 2.17 |
| all | 0.92 | 28.95 | 2.63 | 3.36 | 2.72 |
## Joining by: c("condition", "min_age", "max_age", "median_age", "mean_age", "sd_age")## Warning: joining character vector and factor, coercing into character
## vector| condition | min_age | max_age | median_age | mean_age | sd_age |
|---|---|---|---|---|---|
| beetle | 20 | 70 | 32 | 34.95 | 10.99 |
| robot | 20 | 70 | 33 | 35.60 | 10.92 |
| all | 20 | 70 | 33 | 35.28 | 10.95 |
| condition | m | f | other |
|---|---|---|---|
| beetle | 93 | 108 | 1 |
| robot | 106 | 97 | 1 |
| all | 199 | 205 | 2 |
| condition | asian_east | asian_south | black | hispanic | middle_eastern | multiracial | native_american | other_prefno | pac_islander | white |
|---|---|---|---|---|---|---|---|---|---|---|
| beetle | 8 | 7 | 12 | 11 | 0 | 3 | 1 | 1 | 0 | 159 |
| robot | 14 | 1 | 14 | 10 | 1 | 5 | 1 | 2 | 1 | 155 |
| all | 22 | 8 | 26 | 21 | 1 | 8 | 2 | 3 | 1 | 314 |
| condition | buddhism | christianity | hinduism | islam | judaism | multireligious | none | other | other_prefno |
|---|---|---|---|---|---|---|---|---|---|
| beetle | 6 | 80 | 1 | 3 | 5 | 1 | 95 | 6 | 5 |
| robot | 3 | 85 | 0 | 2 | 2 | 1 | 105 | 4 | 2 |
| all | 9 | 165 | 1 | 5 | 7 | 2 | 200 | 10 | 7 |
Exploratory factor analysis
EFA: BEETLE condition
Step 1: Determine how many factors to extract
Step 2: Run EFA without rotation
## Factor Analysis using method = minres
## Call: fa(r = d2_beetle, nfactors = nfactors_d2_beetle, rotate = "none",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 h2 u2 com
## happy 0.81 -0.05 0.66 0.34 1.0
## depressed 0.73 -0.29 0.62 0.38 1.3
## fear 0.59 0.37 0.48 0.52 1.7
## angry 0.65 0.04 0.43 0.57 1.0
## calm 0.73 0.21 0.58 0.42 1.2
## sounds 0.43 0.57 0.51 0.49 1.9
## seeing 0.38 0.65 0.56 0.44 1.6
## temperature 0.34 0.56 0.43 0.57 1.7
## odors 0.40 0.56 0.48 0.52 1.8
## depth 0.42 0.32 0.28 0.72 1.9
## computations 0.51 -0.31 0.36 0.64 1.6
## thoughts 0.76 0.02 0.58 0.42 1.0
## reasoning 0.70 -0.12 0.50 0.50 1.1
## remembering 0.59 0.28 0.43 0.57 1.4
## beliefs 0.59 -0.38 0.49 0.51 1.7
## hungry 0.25 0.63 0.46 0.54 1.3
## tired 0.59 0.40 0.51 0.49 1.8
## pain 0.44 0.49 0.43 0.57 2.0
## nauseated 0.61 0.05 0.37 0.63 1.0
## safe 0.62 0.29 0.46 0.54 1.4
## love 0.72 -0.29 0.60 0.40 1.3
## recognizing 0.66 0.02 0.44 0.56 1.0
## communicating 0.55 0.41 0.48 0.52 1.8
## guilt 0.64 -0.54 0.70 0.30 1.9
## disrespected 0.59 -0.40 0.51 0.49 1.8
## free_will 0.53 0.30 0.37 0.63 1.6
## choices 0.62 0.36 0.51 0.49 1.6
## self_restraint 0.66 -0.26 0.50 0.50 1.3
## intentions 0.56 0.36 0.44 0.56 1.7
## goal 0.51 0.39 0.41 0.59 1.9
## conscious 0.55 0.37 0.44 0.56 1.7
## self_aware 0.71 -0.01 0.50 0.50 1.0
## desires 0.68 0.12 0.48 0.52 1.1
## embarrassed 0.60 -0.54 0.65 0.35 2.0
## emo_recog 0.75 -0.33 0.67 0.33 1.4
## joy 0.78 0.01 0.61 0.39 1.0
## morality 0.61 -0.44 0.56 0.44 1.8
## personality 0.80 -0.10 0.65 0.35 1.0
## pleasure 0.73 0.13 0.55 0.45 1.1
## pride 0.65 -0.44 0.62 0.38 1.7
##
## MR1 MR2
## SS loadings 15.16 5.20
## Proportion Var 0.38 0.13
## Cumulative Var 0.38 0.51
## Proportion Explained 0.74 0.26
## Cumulative Proportion 0.74 1.00
##
## Mean item complexity = 1.5
## Test of the hypothesis that 2 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 29.93 with Chi Square of 5592.38
## The degrees of freedom for the model are 701 and the objective function was 6.75
##
## The root mean square of the residuals (RMSR) is 0.05
## The df corrected root mean square of the residuals is 0.05
##
## The harmonic number of observations is 202 with the empirical chi square 735.39 with prob < 0.18
## The total number of observations was 202 with MLE Chi Square = 1251.92 with prob < 1.2e-33
##
## Tucker Lewis Index of factoring reliability = 0.872
## RMSEA index = 0.068 and the 90 % confidence intervals are 0.057 NA
## BIC = -2469.17
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2
## Correlation of scores with factors 0.99 0.96
## Multiple R square of scores with factors 0.97 0.92
## Minimum correlation of possible factor scores 0.94 0.83Step 3: Run EFA with oblimin rotation
## Factor Analysis using method = minres
## Call: fa(r = d2_beetle, nfactors = nfactors_d2_beetle, rotate = "oblimin",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 h2 u2 com
## happy 0.62 0.35 0.66 0.34 1.6
## depressed 0.76 0.08 0.62 0.38 1.0
## fear 0.14 0.64 0.48 0.52 1.1
## angry 0.45 0.35 0.43 0.57 1.9
## calm 0.37 0.55 0.58 0.42 1.8
## sounds -0.13 0.75 0.51 0.49 1.1
## seeing -0.23 0.80 0.56 0.44 1.2
## temperature -0.19 0.70 0.43 0.57 1.1
## odors -0.14 0.72 0.48 0.52 1.1
## depth 0.06 0.51 0.28 0.72 1.0
## computations 0.61 -0.04 0.36 0.64 1.0
## thoughts 0.53 0.39 0.58 0.42 1.8
## reasoning 0.60 0.23 0.50 0.50 1.3
## remembering 0.21 0.56 0.43 0.57 1.3
## beliefs 0.72 -0.07 0.49 0.51 1.0
## hungry -0.30 0.71 0.46 0.54 1.3
## tired 0.12 0.67 0.51 0.49 1.1
## pain -0.06 0.67 0.43 0.57 1.0
## nauseated 0.40 0.34 0.37 0.63 1.9
## safe 0.23 0.57 0.46 0.54 1.3
## love 0.75 0.07 0.60 0.40 1.0
## recognizing 0.47 0.34 0.44 0.56 1.8
## communicating 0.09 0.66 0.48 0.52 1.0
## guilt 0.88 -0.20 0.70 0.30 1.1
## disrespected 0.74 -0.09 0.51 0.49 1.0
## free_will 0.16 0.54 0.37 0.63 1.2
## choices 0.17 0.64 0.51 0.49 1.1
## self_restraint 0.68 0.07 0.50 0.50 1.0
## intentions 0.13 0.61 0.44 0.56 1.1
## goal 0.07 0.61 0.41 0.59 1.0
## conscious 0.12 0.62 0.44 0.56 1.1
## self_aware 0.52 0.34 0.50 0.50 1.7
## desires 0.40 0.45 0.48 0.52 2.0
## embarrassed 0.85 -0.22 0.65 0.35 1.1
## emo_recog 0.80 0.05 0.67 0.33 1.0
## joy 0.56 0.39 0.61 0.39 1.8
## morality 0.78 -0.12 0.56 0.44 1.0
## personality 0.66 0.29 0.65 0.35 1.4
## pleasure 0.43 0.48 0.55 0.45 2.0
## pride 0.81 -0.09 0.62 0.38 1.0
##
## MR1 MR2
## SS loadings 10.66 9.70
## Proportion Var 0.27 0.24
## Cumulative Var 0.27 0.51
## Proportion Explained 0.52 0.48
## Cumulative Proportion 0.52 1.00
##
## With factor correlations of
## MR1 MR2
## MR1 1.00 0.33
## MR2 0.33 1.00
##
## Mean item complexity = 1.3
## Test of the hypothesis that 2 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 29.93 with Chi Square of 5592.38
## The degrees of freedom for the model are 701 and the objective function was 6.75
##
## The root mean square of the residuals (RMSR) is 0.05
## The df corrected root mean square of the residuals is 0.05
##
## The harmonic number of observations is 202 with the empirical chi square 735.39 with prob < 0.18
## The total number of observations was 202 with MLE Chi Square = 1251.92 with prob < 1.2e-33
##
## Tucker Lewis Index of factoring reliability = 0.872
## RMSEA index = 0.068 and the 90 % confidence intervals are 0.057 NA
## BIC = -2469.17
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2
## Correlation of scores with factors 0.98 0.97
## Multiple R square of scores with factors 0.96 0.95
## Minimum correlation of possible factor scores 0.92 0.89Factor 1
| F1 | |
|---|---|
| guilt | 0.8803545 |
| embarrassed | 0.8542553 |
| pride | 0.8134527 |
| emo_recog | 0.8016504 |
| morality | 0.7796767 |
| depressed | 0.7579188 |
| love | 0.7475632 |
| disrespected | 0.7378570 |
| beliefs | 0.7237554 |
| self_restraint | 0.6782371 |
| personality | 0.6622739 |
| happy | 0.6247966 |
| computations | 0.6148052 |
| reasoning | 0.5981875 |
| joy | 0.5595771 |
| thoughts | 0.5322581 |
| self_aware | 0.5203008 |
| recognizing | 0.4713972 |
| angry | 0.4472759 |
| pleasure | 0.4348482 |
| nauseated | 0.4041003 |
| desires | 0.4037717 |
| calm | 0.3731078 |
| safe | 0.2282987 |
| remembering | 0.2128353 |
| choices | 0.1723475 |
| free_will | 0.1553498 |
| fear | 0.1365334 |
| intentions | 0.1298634 |
| tired | 0.1208708 |
| conscious | 0.1178029 |
| communicating | 0.0861402 |
| goal | 0.0719750 |
| depth | 0.0557840 |
| pain | -0.0555170 |
| sounds | -0.1254721 |
| odors | -0.1419015 |
| temperature | -0.1855424 |
| seeing | -0.2252028 |
| hungry | -0.3005706 |
Factor 2
| F2 | |
|---|---|
| seeing | 0.7955594 |
| sounds | 0.7456164 |
| odors | 0.7248234 |
| hungry | 0.7141059 |
| temperature | 0.6961565 |
| pain | 0.6724988 |
| tired | 0.6683506 |
| communicating | 0.6559583 |
| fear | 0.6369419 |
| choices | 0.6367620 |
| conscious | 0.6160587 |
| goal | 0.6141723 |
| intentions | 0.6118067 |
| safe | 0.5707932 |
| remembering | 0.5551369 |
| calm | 0.5524617 |
| free_will | 0.5412922 |
| depth | 0.5052081 |
| pleasure | 0.4770327 |
| desires | 0.4469858 |
| thoughts | 0.3920599 |
| joy | 0.3911016 |
| angry | 0.3532373 |
| happy | 0.3521854 |
| nauseated | 0.3410370 |
| recognizing | 0.3380248 |
| self_aware | 0.3379393 |
| personality | 0.2906303 |
| reasoning | 0.2260208 |
| depressed | 0.0840683 |
| self_restraint | 0.0740691 |
| love | 0.0740191 |
| emo_recog | 0.0526682 |
| computations | -0.0433805 |
| beliefs | -0.0706573 |
| disrespected | -0.0923191 |
| pride | -0.0935499 |
| morality | -0.1178541 |
| guilt | -0.1977198 |
| embarrassed | -0.2160513 |
Factor 3 (not applicable)
EFA: ROBOT condition
Step 1: Determine how many factors to extract
Step 2: Run EFA without rotation
## Factor Analysis using method = minres
## Call: fa(r = d2_robot, nfactors = nfactors_d2_robot, rotate = "none",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 h2 u2 com
## happy 0.86 -0.08 0.74 0.26 1.0
## depressed 0.90 -0.12 0.82 0.18 1.0
## fear 0.91 -0.04 0.83 0.17 1.0
## angry 0.86 -0.04 0.73 0.27 1.0
## calm 0.58 0.18 0.36 0.64 1.2
## sounds -0.04 0.70 0.49 0.51 1.0
## seeing 0.20 0.71 0.54 0.46 1.2
## temperature 0.08 0.64 0.42 0.58 1.0
## odors 0.19 0.56 0.35 0.65 1.2
## depth 0.10 0.55 0.31 0.69 1.1
## computations -0.15 0.65 0.44 0.56 1.1
## thoughts 0.62 0.23 0.44 0.56 1.3
## reasoning 0.32 0.55 0.40 0.60 1.6
## remembering 0.10 0.71 0.52 0.48 1.0
## beliefs 0.67 0.15 0.47 0.53 1.1
## hungry 0.84 -0.13 0.72 0.28 1.1
## tired 0.79 -0.05 0.63 0.37 1.0
## pain 0.84 -0.12 0.73 0.27 1.0
## nauseated 0.84 -0.14 0.72 0.28 1.1
## safe 0.73 0.05 0.53 0.47 1.0
## love 0.87 -0.10 0.77 0.23 1.0
## recognizing 0.22 0.69 0.52 0.48 1.2
## communicating 0.13 0.71 0.53 0.47 1.1
## guilt 0.90 -0.10 0.81 0.19 1.0
## disrespected 0.87 -0.05 0.76 0.24 1.0
## free_will 0.54 0.09 0.30 0.70 1.1
## choices 0.18 0.70 0.52 0.48 1.1
## self_restraint 0.43 0.37 0.32 0.68 1.9
## intentions 0.52 0.35 0.39 0.61 1.7
## goal 0.19 0.72 0.55 0.45 1.1
## conscious 0.66 0.12 0.45 0.55 1.1
## self_aware 0.57 0.31 0.42 0.58 1.5
## desires 0.84 0.03 0.71 0.29 1.0
## embarrassed 0.85 -0.10 0.73 0.27 1.0
## emo_recog 0.60 0.32 0.46 0.54 1.5
## joy 0.87 -0.05 0.76 0.24 1.0
## morality 0.49 0.40 0.40 0.60 1.9
## personality 0.56 0.29 0.39 0.61 1.5
## pleasure 0.85 -0.07 0.72 0.28 1.0
## pride 0.92 -0.07 0.86 0.14 1.0
##
## MR1 MR2
## SS loadings 16.42 6.19
## Proportion Var 0.41 0.15
## Cumulative Var 0.41 0.57
## Proportion Explained 0.73 0.27
## Cumulative Proportion 0.73 1.00
##
## Mean item complexity = 1.2
## Test of the hypothesis that 2 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 38.55 with Chi Square of 7279.24
## The degrees of freedom for the model are 701 and the objective function was 8.25
##
## The root mean square of the residuals (RMSR) is 0.05
## The df corrected root mean square of the residuals is 0.05
##
## The harmonic number of observations is 204 with the empirical chi square 661.88 with prob < 0.85
## The total number of observations was 204 with MLE Chi Square = 1547.07 with prob < 1.1e-65
##
## Tucker Lewis Index of factoring reliability = 0.854
## RMSEA index = 0.083 and the 90 % confidence intervals are 0.072 NA
## BIC = -2180.93
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2
## Correlation of scores with factors 0.99 0.96
## Multiple R square of scores with factors 0.98 0.92
## Minimum correlation of possible factor scores 0.97 0.85Step 3: Run EFA with oblimin rotation
## Factor Analysis using method = minres
## Call: fa(r = d2_robot, nfactors = nfactors_d2_robot, rotate = "oblimin",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 h2 u2 com
## happy 0.86 -0.03 0.74 0.26 1.0
## depressed 0.92 -0.08 0.82 0.18 1.0
## fear 0.91 0.01 0.83 0.17 1.0
## angry 0.86 0.01 0.73 0.27 1.0
## calm 0.53 0.21 0.36 0.64 1.3
## sounds -0.19 0.71 0.49 0.51 1.1
## seeing 0.04 0.73 0.54 0.46 1.0
## temperature -0.07 0.66 0.42 0.58 1.0
## odors 0.07 0.57 0.35 0.65 1.0
## depth -0.03 0.56 0.31 0.69 1.0
## computations -0.29 0.65 0.44 0.56 1.4
## thoughts 0.57 0.26 0.44 0.56 1.4
## reasoning 0.19 0.57 0.40 0.60 1.2
## remembering -0.06 0.73 0.52 0.48 1.0
## beliefs 0.63 0.19 0.47 0.53 1.2
## hungry 0.86 -0.09 0.72 0.28 1.0
## tired 0.79 0.00 0.63 0.37 1.0
## pain 0.86 -0.07 0.73 0.27 1.0
## nauseated 0.86 -0.10 0.72 0.28 1.0
## safe 0.71 0.09 0.53 0.47 1.0
## love 0.89 -0.05 0.77 0.23 1.0
## recognizing 0.07 0.71 0.52 0.48 1.0
## communicating -0.03 0.73 0.53 0.47 1.0
## guilt 0.91 -0.05 0.81 0.19 1.0
## disrespected 0.87 0.00 0.76 0.24 1.0
## free_will 0.51 0.12 0.30 0.70 1.1
## choices 0.02 0.72 0.52 0.48 1.0
## self_restraint 0.35 0.40 0.32 0.68 2.0
## intentions 0.44 0.38 0.39 0.61 2.0
## goal 0.03 0.74 0.55 0.45 1.0
## conscious 0.62 0.16 0.45 0.55 1.1
## self_aware 0.50 0.35 0.42 0.58 1.8
## desires 0.82 0.08 0.71 0.29 1.0
## embarrassed 0.86 -0.06 0.73 0.27 1.0
## emo_recog 0.52 0.35 0.46 0.54 1.8
## joy 0.87 -0.01 0.76 0.24 1.0
## morality 0.40 0.43 0.40 0.60 2.0
## personality 0.49 0.32 0.39 0.61 1.7
## pleasure 0.86 -0.03 0.72 0.28 1.0
## pride 0.93 -0.03 0.86 0.14 1.0
##
## MR1 MR2
## SS loadings 15.89 6.71
## Proportion Var 0.40 0.17
## Cumulative Var 0.40 0.57
## Proportion Explained 0.70 0.30
## Cumulative Proportion 0.70 1.00
##
## With factor correlations of
## MR1 MR2
## MR1 1.00 0.17
## MR2 0.17 1.00
##
## Mean item complexity = 1.2
## Test of the hypothesis that 2 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 38.55 with Chi Square of 7279.24
## The degrees of freedom for the model are 701 and the objective function was 8.25
##
## The root mean square of the residuals (RMSR) is 0.05
## The df corrected root mean square of the residuals is 0.05
##
## The harmonic number of observations is 204 with the empirical chi square 661.88 with prob < 0.85
## The total number of observations was 204 with MLE Chi Square = 1547.07 with prob < 1.1e-65
##
## Tucker Lewis Index of factoring reliability = 0.854
## RMSEA index = 0.083 and the 90 % confidence intervals are 0.072 NA
## BIC = -2180.93
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2
## Correlation of scores with factors 0.99 0.96
## Multiple R square of scores with factors 0.98 0.93
## Minimum correlation of possible factor scores 0.97 0.85Factor 1
| F1 | |
|---|---|
| pride | 0.9305553 |
| depressed | 0.9178856 |
| fear | 0.9112457 |
| guilt | 0.9101970 |
| love | 0.8869788 |
| joy | 0.8732872 |
| disrespected | 0.8711814 |
| happy | 0.8648991 |
| embarrassed | 0.8632728 |
| nauseated | 0.8618791 |
| pain | 0.8617204 |
| hungry | 0.8594841 |
| angry | 0.8555406 |
| pleasure | 0.8553076 |
| desires | 0.8249609 |
| tired | 0.7932471 |
| safe | 0.7115840 |
| beliefs | 0.6295444 |
| conscious | 0.6211557 |
| thoughts | 0.5681323 |
| calm | 0.5308524 |
| emo_recog | 0.5227627 |
| free_will | 0.5118449 |
| self_aware | 0.4970889 |
| personality | 0.4891627 |
| intentions | 0.4388387 |
| morality | 0.3956186 |
| self_restraint | 0.3472334 |
| reasoning | 0.1926771 |
| recognizing | 0.0663543 |
| odors | 0.0661537 |
| seeing | 0.0365123 |
| goal | 0.0316102 |
| choices | 0.0188257 |
| communicating | -0.0266782 |
| depth | -0.0275297 |
| remembering | -0.0625296 |
| temperature | -0.0682218 |
| sounds | -0.1939118 |
| computations | -0.2922289 |
Factor 2
| F2 | |
|---|---|
| goal | 0.7390096 |
| seeing | 0.7308093 |
| communicating | 0.7303912 |
| remembering | 0.7291375 |
| choices | 0.7165656 |
| sounds | 0.7081143 |
| recognizing | 0.7059270 |
| temperature | 0.6556088 |
| computations | 0.6460425 |
| odors | 0.5740639 |
| reasoning | 0.5700562 |
| depth | 0.5649050 |
| morality | 0.4322313 |
| self_restraint | 0.3954423 |
| intentions | 0.3786108 |
| emo_recog | 0.3533344 |
| self_aware | 0.3450476 |
| personality | 0.3204362 |
| thoughts | 0.2624261 |
| calm | 0.2087978 |
| beliefs | 0.1871683 |
| conscious | 0.1612716 |
| free_will | 0.1206103 |
| safe | 0.0860659 |
| desires | 0.0801130 |
| fear | 0.0080766 |
| angry | 0.0076457 |
| disrespected | 0.0011771 |
| tired | -0.0044641 |
| joy | -0.0052948 |
| pride | -0.0250570 |
| pleasure | -0.0265126 |
| happy | -0.0330416 |
| love | -0.0499342 |
| guilt | -0.0549815 |
| embarrassed | -0.0554178 |
| pain | -0.0711324 |
| depressed | -0.0774049 |
| hungry | -0.0906640 |
| nauseated | -0.0959285 |
Factor 3 (not applicable)
EFA: ALL conditions
Step 1: Determine how many factors to extract
Step 2: Run EFA without rotation
## Factor Analysis using method = minres
## Call: fa(r = d2_all, nfactors = nfactors_d2_all, rotate = "none", fm = "minres",
## cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 MR3 h2 u2 com
## happy 0.82 0.16 -0.15 0.72 0.28 1.1
## depressed 0.74 0.26 -0.31 0.71 0.29 1.6
## fear 0.81 -0.27 0.11 0.75 0.25 1.3
## angry 0.78 0.02 -0.08 0.61 0.39 1.0
## calm 0.73 0.07 0.10 0.55 0.45 1.1
## sounds 0.14 0.31 0.63 0.52 0.48 1.6
## seeing 0.41 0.10 0.62 0.56 0.44 1.8
## temperature 0.27 0.12 0.58 0.43 0.57 1.5
## odors 0.46 -0.02 0.49 0.45 0.55 2.0
## depth 0.17 0.33 0.44 0.34 0.66 2.2
## computations -0.42 0.77 0.15 0.79 0.21 1.6
## thoughts 0.75 0.14 0.04 0.58 0.42 1.1
## reasoning 0.24 0.61 0.19 0.47 0.53 1.5
## remembering 0.07 0.59 0.47 0.58 0.42 1.9
## beliefs 0.47 0.43 -0.18 0.44 0.56 2.3
## hungry 0.72 -0.58 0.11 0.86 0.14 2.0
## tired 0.80 -0.33 0.15 0.77 0.23 1.4
## pain 0.77 -0.46 0.13 0.82 0.18 1.7
## nauseated 0.73 -0.05 -0.05 0.54 0.46 1.0
## safe 0.77 -0.11 0.08 0.62 0.38 1.1
## love 0.72 0.25 -0.28 0.66 0.34 1.6
## recognizing 0.06 0.71 0.30 0.59 0.41 1.4
## communicating 0.26 0.40 0.55 0.54 0.46 2.3
## guilt 0.60 0.43 -0.44 0.73 0.27 2.7
## disrespected 0.61 0.33 -0.35 0.60 0.40 2.2
## free_will 0.70 -0.21 0.15 0.56 0.44 1.3
## choices 0.38 0.35 0.51 0.53 0.47 2.7
## self_restraint 0.41 0.44 0.01 0.37 0.63 2.0
## intentions 0.65 0.03 0.26 0.50 0.50 1.3
## goal 0.32 0.35 0.52 0.49 0.51 2.5
## conscious 0.75 -0.19 0.15 0.62 0.38 1.2
## self_aware 0.69 0.20 0.04 0.52 0.48 1.2
## desires 0.80 -0.01 0.02 0.64 0.36 1.0
## embarrassed 0.57 0.40 -0.43 0.67 0.33 2.7
## emo_recog 0.48 0.56 -0.08 0.55 0.45 2.0
## joy 0.81 0.15 -0.11 0.69 0.31 1.1
## morality 0.29 0.60 -0.05 0.45 0.55 1.5
## personality 0.56 0.46 -0.01 0.53 0.47 1.9
## pleasure 0.83 -0.07 -0.01 0.70 0.30 1.0
## pride 0.66 0.37 -0.38 0.71 0.29 2.2
##
## MR1 MR2 MR3
## SS loadings 14.51 5.38 3.87
## Proportion Var 0.36 0.13 0.10
## Cumulative Var 0.36 0.50 0.59
## Proportion Explained 0.61 0.23 0.16
## Cumulative Proportion 0.61 0.84 1.00
##
## Mean item complexity = 1.7
## Test of the hypothesis that 3 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 33.07 with Chi Square of 12924.08
## The degrees of freedom for the model are 663 and the objective function was 3.93
##
## The root mean square of the residuals (RMSR) is 0.03
## The df corrected root mean square of the residuals is 0.03
##
## The harmonic number of observations is 406 with the empirical chi square 607.3 with prob < 0.94
## The total number of observations was 406 with MLE Chi Square = 1526.24 with prob < 6.5e-70
##
## Tucker Lewis Index of factoring reliability = 0.916
## RMSEA index = 0.059 and the 90 % confidence intervals are 0.053 0.06
## BIC = -2455.97
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2 MR3
## Correlation of scores with factors 0.99 0.97 0.95
## Multiple R square of scores with factors 0.98 0.94 0.90
## Minimum correlation of possible factor scores 0.96 0.88 0.80Step 3: Run EFA with oblimin rotation
## Factor Analysis using method = minres
## Call: fa(r = d2_all, nfactors = nfactors_d2_all, rotate = "oblimin",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 MR3 h2 u2 com
## happy 0.64 0.38 0.04 0.72 0.28 1.6
## depressed 0.78 0.20 -0.07 0.71 0.29 1.1
## fear 0.17 0.77 0.09 0.75 0.25 1.1
## angry 0.47 0.47 0.05 0.61 0.39 2.0
## calm 0.35 0.45 0.23 0.55 0.45 2.4
## sounds -0.19 0.03 0.75 0.52 0.48 1.1
## seeing -0.18 0.36 0.68 0.56 0.44 1.7
## temperature -0.20 0.25 0.64 0.43 0.57 1.5
## odors -0.13 0.45 0.52 0.45 0.55 2.1
## depth -0.02 -0.02 0.59 0.34 0.66 1.0
## computations 0.16 -0.83 0.43 0.79 0.21 1.6
## thoughts 0.46 0.39 0.21 0.58 0.42 2.4
## reasoning 0.37 -0.27 0.49 0.47 0.53 2.5
## remembering 0.07 -0.29 0.72 0.58 0.42 1.3
## beliefs 0.65 -0.08 0.09 0.44 0.56 1.1
## hungry -0.07 0.95 -0.06 0.86 0.14 1.0
## tired 0.10 0.82 0.10 0.77 0.23 1.1
## pain 0.01 0.90 0.02 0.82 0.18 1.0
## nauseated 0.38 0.51 0.04 0.54 0.46 1.9
## safe 0.27 0.61 0.14 0.62 0.38 1.5
## love 0.74 0.20 -0.04 0.66 0.34 1.1
## recognizing 0.26 -0.42 0.61 0.59 0.41 2.2
## communicating -0.01 0.01 0.73 0.54 0.46 1.0
## guilt 0.90 -0.06 -0.13 0.73 0.27 1.1
## disrespected 0.78 0.04 -0.08 0.60 0.40 1.0
## free_will 0.12 0.67 0.15 0.56 0.44 1.2
## choices 0.05 0.12 0.69 0.53 0.47 1.1
## self_restraint 0.49 -0.07 0.27 0.37 0.63 1.6
## intentions 0.17 0.48 0.35 0.50 0.50 2.1
## goal 0.01 0.08 0.69 0.49 0.51 1.0
## conscious 0.17 0.68 0.16 0.62 0.38 1.2
## self_aware 0.45 0.31 0.23 0.52 0.48 2.3
## desires 0.40 0.54 0.12 0.64 0.36 2.0
## embarrassed 0.86 -0.05 -0.14 0.67 0.33 1.1
## emo_recog 0.66 -0.14 0.25 0.55 0.45 1.4
## joy 0.60 0.39 0.08 0.69 0.31 1.8
## morality 0.57 -0.29 0.27 0.45 0.55 2.0
## personality 0.59 0.01 0.28 0.53 0.47 1.4
## pleasure 0.40 0.60 0.08 0.70 0.30 1.8
## pride 0.85 0.04 -0.09 0.71 0.29 1.0
##
## MR1 MR2 MR3
## SS loadings 9.20 8.66 5.91
## Proportion Var 0.23 0.22 0.15
## Cumulative Var 0.23 0.45 0.59
## Proportion Explained 0.39 0.36 0.25
## Cumulative Proportion 0.39 0.75 1.00
##
## With factor correlations of
## MR1 MR2 MR3
## MR1 1.00 0.32 0.29
## MR2 0.32 1.00 0.09
## MR3 0.29 0.09 1.00
##
## Mean item complexity = 1.5
## Test of the hypothesis that 3 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 33.07 with Chi Square of 12924.08
## The degrees of freedom for the model are 663 and the objective function was 3.93
##
## The root mean square of the residuals (RMSR) is 0.03
## The df corrected root mean square of the residuals is 0.03
##
## The harmonic number of observations is 406 with the empirical chi square 607.3 with prob < 0.94
## The total number of observations was 406 with MLE Chi Square = 1526.24 with prob < 6.5e-70
##
## Tucker Lewis Index of factoring reliability = 0.916
## RMSEA index = 0.059 and the 90 % confidence intervals are 0.053 0.06
## BIC = -2455.97
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy
## MR1 MR2 MR3
## Correlation of scores with factors 0.98 0.98 0.96
## Multiple R square of scores with factors 0.96 0.97 0.92
## Minimum correlation of possible factor scores 0.92 0.93 0.85Factor 1
| F1 | |
|---|---|
| guilt | 0.9018117 |
| embarrassed | 0.8644501 |
| pride | 0.8512502 |
| disrespected | 0.7816774 |
| depressed | 0.7768355 |
| love | 0.7414486 |
| emo_recog | 0.6627206 |
| beliefs | 0.6530539 |
| happy | 0.6389639 |
| joy | 0.5955045 |
| personality | 0.5895859 |
| morality | 0.5678485 |
| self_restraint | 0.4896610 |
| angry | 0.4699806 |
| thoughts | 0.4556764 |
| self_aware | 0.4531171 |
| desires | 0.3967682 |
| pleasure | 0.3961616 |
| nauseated | 0.3817812 |
| reasoning | 0.3696592 |
| calm | 0.3545488 |
| safe | 0.2740405 |
| recognizing | 0.2635986 |
| fear | 0.1748140 |
| intentions | 0.1677811 |
| conscious | 0.1661887 |
| computations | 0.1605288 |
| free_will | 0.1214247 |
| tired | 0.0998412 |
| remembering | 0.0669193 |
| choices | 0.0506938 |
| pain | 0.0109853 |
| goal | 0.0097885 |
| communicating | -0.0058206 |
| depth | -0.0221118 |
| hungry | -0.0701970 |
| odors | -0.1325338 |
| seeing | -0.1758959 |
| sounds | -0.1907316 |
| temperature | -0.2031845 |
Factor 2
| F2 | |
|---|---|
| hungry | 0.9477598 |
| pain | 0.8997743 |
| tired | 0.8211861 |
| fear | 0.7720673 |
| conscious | 0.6809673 |
| free_will | 0.6666312 |
| safe | 0.6132382 |
| pleasure | 0.5988310 |
| desires | 0.5396944 |
| nauseated | 0.5082342 |
| intentions | 0.4794387 |
| angry | 0.4746162 |
| calm | 0.4519300 |
| odors | 0.4513555 |
| thoughts | 0.3896041 |
| joy | 0.3884269 |
| happy | 0.3754179 |
| seeing | 0.3633246 |
| self_aware | 0.3113616 |
| temperature | 0.2470464 |
| love | 0.1968049 |
| depressed | 0.1953708 |
| choices | 0.1215030 |
| goal | 0.0803831 |
| pride | 0.0435385 |
| disrespected | 0.0432014 |
| sounds | 0.0329935 |
| communicating | 0.0125797 |
| personality | 0.0087852 |
| depth | -0.0216847 |
| embarrassed | -0.0526589 |
| guilt | -0.0599803 |
| self_restraint | -0.0705879 |
| beliefs | -0.0789678 |
| emo_recog | -0.1375540 |
| reasoning | -0.2659083 |
| remembering | -0.2857466 |
| morality | -0.2909780 |
| recognizing | -0.4248210 |
| computations | -0.8272856 |
Factor 3
| F3 | |
|---|---|
| sounds | 0.7505277 |
| communicating | 0.7324933 |
| remembering | 0.7179818 |
| choices | 0.6876736 |
| goal | 0.6864950 |
| seeing | 0.6753770 |
| temperature | 0.6380509 |
| recognizing | 0.6097092 |
| depth | 0.5895839 |
| odors | 0.5173410 |
| reasoning | 0.4918902 |
| computations | 0.4347000 |
| intentions | 0.3500669 |
| personality | 0.2837250 |
| self_restraint | 0.2716401 |
| morality | 0.2705058 |
| emo_recog | 0.2495774 |
| calm | 0.2327532 |
| self_aware | 0.2258684 |
| thoughts | 0.2055088 |
| conscious | 0.1560888 |
| free_will | 0.1466452 |
| safe | 0.1388006 |
| desires | 0.1230747 |
| tired | 0.0989842 |
| fear | 0.0949720 |
| beliefs | 0.0927408 |
| pleasure | 0.0785267 |
| joy | 0.0781520 |
| angry | 0.0477393 |
| happy | 0.0449535 |
| nauseated | 0.0353175 |
| pain | 0.0157851 |
| love | -0.0444002 |
| hungry | -0.0622055 |
| depressed | -0.0654152 |
| disrespected | -0.0843699 |
| pride | -0.0904020 |
| guilt | -0.1296249 |
| embarrassed | -0.1366754 |
Confirmatory factor analysis
CFA: All conditions
ModelDD: Data-driven, three factors (experience, MR2, MR3; see Study 1)
## lavaan (0.5-20) converged normally after 64 iterations
##
## Number of observations 406
##
## Estimator ML
## Minimum Function Test Statistic 4025.067
## Degrees of freedom 737
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 13425.609
## Degrees of freedom 780
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.740
## Tucker-Lewis Index (TLI) 0.725
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -27336.287
## Loglikelihood unrestricted model (H1) -25323.753
##
## Number of free parameters 83
## Akaike (AIC) 54838.573
## Bayesian (BIC) 55171.101
## Sample-size adjusted Bayesian (BIC) 54907.730
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.105
## 90 Percent Confidence Interval 0.102 0.108
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.142
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## MR1 =~
## embarrassed 1.000
## pride 1.253 0.071 17.711 0.000
## guilt 1.103 0.064 17.228 0.000
## love 1.481 0.084 17.724 0.000
## disrespected 1.126 0.069 16.236 0.000
## depressed 1.444 0.078 18.559 0.000
## beliefs 1.014 0.079 12.859 0.000
## emo_recog 1.204 0.089 13.454 0.000
## joy 1.668 0.095 17.558 0.000
## personality 1.532 0.108 14.158 0.000
## happy 1.861 0.102 18.249 0.000
## morality 0.970 0.099 9.821 0.000
## angry 1.601 0.105 15.254 0.000
## self_restraint 1.186 0.110 10.733 0.000
## thoughts 1.653 0.111 14.936 0.000
## self_aware 1.704 0.119 14.291 0.000
## MR2 =~
## hungry 1.000
## pain 0.937 0.044 21.458 0.000
## tired 0.852 0.039 22.018 0.000
## fear 0.836 0.039 21.677 0.000
## pleasure 0.673 0.034 20.013 0.000
## conscious 0.745 0.039 18.917 0.000
## free_will 0.687 0.040 17.314 0.000
## safe 0.678 0.036 18.661 0.000
## desires 0.617 0.034 18.373 0.000
## calm 0.586 0.037 15.963 0.000
## nauseated 0.491 0.030 16.386 0.000
## odors 0.443 0.044 10.168 0.000
## intentions 0.595 0.041 14.483 0.000
## MR3 =~
## remembering 1.000
## temperature 0.705 0.064 11.020 0.000
## recognizing 0.919 0.073 12.589 0.000
## seeing 0.839 0.070 12.050 0.000
## communicating 0.929 0.065 14.242 0.000
## sounds 0.810 0.061 13.211 0.000
## depth 0.762 0.071 10.790 0.000
## goal 0.958 0.073 13.148 0.000
## choices 0.916 0.068 13.464 0.000
## reasoning 0.679 0.063 10.742 0.000
## computations 0.702 0.087 8.029 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## MR1 ~~
## MR2 1.123 0.118 9.549 0.000
## MR3 0.350 0.067 5.228 0.000
## MR2 ~~
## MR3 0.756 0.195 3.877 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## embarrassed 0.382 0.029 13.344 0.000
## pride 0.419 0.032 12.954 0.000
## guilt 0.370 0.028 13.113 0.000
## love 0.584 0.045 12.949 0.000
## disrespected 0.496 0.037 13.366 0.000
## depressed 0.435 0.035 12.590 0.000
## beliefs 0.878 0.063 13.844 0.000
## emo_recog 1.082 0.078 13.786 0.000
## joy 0.775 0.060 13.007 0.000
## personality 1.494 0.109 13.706 0.000
## happy 0.793 0.062 12.738 0.000
## morality 1.636 0.116 14.050 0.000
## angry 1.268 0.094 13.551 0.000
## self_restraint 1.959 0.140 14.001 0.000
## thoughts 1.455 0.107 13.600 0.000
## self_aware 1.794 0.131 13.690 0.000
## hungry 2.398 0.185 12.957 0.000
## pain 1.550 0.124 12.494 0.000
## tired 1.129 0.092 12.253 0.000
## fear 1.176 0.095 12.405 0.000
## pleasure 1.085 0.084 12.958 0.000
## conscious 1.652 0.125 13.209 0.000
## free_will 1.898 0.141 13.481 0.000
## safe 1.439 0.109 13.259 0.000
## desires 1.258 0.095 13.312 0.000
## calm 1.773 0.130 13.651 0.000
## nauseated 1.151 0.085 13.602 0.000
## odors 3.197 0.227 14.059 0.000
## intentions 2.409 0.175 13.794 0.000
## remembering 2.257 0.182 12.420 0.000
## temperature 2.386 0.178 13.391 0.000
## recognizing 2.624 0.203 12.923 0.000
## seeing 2.547 0.194 13.109 0.000
## communicating 1.626 0.135 12.060 0.000
## sounds 1.705 0.135 12.660 0.000
## depth 2.966 0.221 13.443 0.000
## goal 2.424 0.191 12.689 0.000
## choices 2.020 0.161 12.535 0.000
## reasoning 2.387 0.177 13.454 0.000
## computations 5.500 0.396 13.881 0.000
## MR1 0.528 0.059 8.978 0.000
## MR2 4.981 0.496 10.047 0.000
## MR3 2.412 0.300 8.030 0.000ModelWDM: Theoretical, three factors (AFFECT, AUTONOMY, PERCEPTION; see Weisman et al., 2015)
## lavaan (0.5-20) converged normally after 47 iterations
##
## Number of observations 406
##
## Estimator ML
## Minimum Function Test Statistic 574.111
## Degrees of freedom 101
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 3556.652
## Degrees of freedom 120
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.862
## Tucker-Lewis Index (TLI) 0.836
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -11698.470
## Loglikelihood unrestricted model (H1) -11411.415
##
## Number of free parameters 35
## Akaike (AIC) 23466.941
## Bayesian (BIC) 23607.163
## Sample-size adjusted Bayesian (BIC) 23496.103
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.107
## 90 Percent Confidence Interval 0.099 0.116
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.091
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## affect =~
## happy 1.000
## depressed 0.656 0.032 20.325 0.000
## fear 1.056 0.059 17.752 0.000
## angry 0.861 0.042 20.492 0.000
## calm 0.956 0.050 19.168 0.000
## joy 0.908 0.034 26.657 0.000
## perception =~
## sounds 1.000
## seeing 1.347 0.117 11.537 0.000
## temperature 1.194 0.106 11.265 0.000
## odors 1.296 0.115 11.310 0.000
## depth 1.048 0.111 9.474 0.000
## autonomy =~
## free_will 1.000
## choices 1.023 0.097 10.532 0.000
## self_restraint 0.601 0.075 8.054 0.000
## intentions 1.146 0.101 11.308 0.000
## goal 1.044 0.103 10.156 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## affect ~~
## perception 0.569 0.106 5.380 0.000
## autonomy 1.312 0.154 8.527 0.000
## perception ~~
## autonomy 1.147 0.148 7.737 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## happy 0.477 0.050 9.587 0.000
## depressed 0.613 0.048 12.714 0.000
## fear 2.270 0.172 13.183 0.000
## angry 1.030 0.081 12.677 0.000
## calm 1.523 0.118 12.944 0.000
## joy 0.475 0.046 10.362 0.000
## sounds 2.009 0.160 12.549 0.000
## seeing 1.926 0.175 11.003 0.000
## temperature 1.760 0.154 11.461 0.000
## odors 2.024 0.178 11.392 0.000
## depth 2.959 0.228 12.985 0.000
## free_will 2.644 0.206 12.832 0.000
## choices 2.367 0.188 12.576 0.000
## self_restraint 2.123 0.156 13.629 0.000
## intentions 2.069 0.176 11.776 0.000
## goal 2.888 0.225 12.834 0.000
## affect 2.145 0.185 11.617 0.000
## perception 1.280 0.198 6.469 0.000
## autonomy 1.602 0.250 6.414 0.000ModelGGW: Theoretical, two factors (AGENCY, EXPERIENCE; see Gray et al., 2007)
## lavaan (0.5-20) converged normally after 46 iterations
##
## Number of observations 406
##
## Estimator ML
## Minimum Function Test Statistic 1736.144
## Degrees of freedom 134
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 5043.034
## Degrees of freedom 153
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.672
## Tucker-Lewis Index (TLI) 0.626
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -12750.702
## Loglikelihood unrestricted model (H1) -11882.630
##
## Number of free parameters 37
## Akaike (AIC) 25575.404
## Bayesian (BIC) 25723.639
## Sample-size adjusted Bayesian (BIC) 25606.233
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.172
## 90 Percent Confidence Interval 0.164 0.179
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.155
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## experience =~
## hungry 1.000
## fear 0.909 0.055 16.465 0.000
## pain 0.972 0.062 15.579 0.000
## pleasure 0.803 0.047 17.197 0.000
## angry 0.650 0.041 15.672 0.000
## desires 0.738 0.045 16.231 0.000
## personality 0.441 0.043 10.305 0.000
## conscious 0.799 0.054 14.808 0.000
## pride 0.341 0.029 11.818 0.000
## embarrassed 0.244 0.025 9.856 0.000
## joy 0.614 0.038 15.994 0.000
## agency =~
## self_restraint 1.000
## morality 0.905 0.085 10.639 0.000
## remembering 0.902 0.118 7.642 0.000
## emo_recog 0.951 0.082 11.588 0.000
## goal 1.062 0.120 8.842 0.000
## communicating 0.902 0.107 8.460 0.000
## thoughts 1.024 0.098 10.400 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## experience ~~
## agency 1.162 0.159 7.290 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## hungry 3.541 0.267 13.273 0.000
## fear 1.485 0.121 12.318 0.000
## pain 2.296 0.179 12.825 0.000
## pleasure 0.864 0.074 11.659 0.000
## angry 0.998 0.078 12.782 0.000
## desires 1.065 0.085 12.475 0.000
## personality 1.986 0.143 13.911 0.000
## conscious 1.966 0.150 13.126 0.000
## pride 0.802 0.058 13.748 0.000
## embarrassed 0.682 0.049 13.948 0.000
## joy 0.799 0.063 12.616 0.000
## self_restraint 1.583 0.131 12.075 0.000
## morality 1.217 0.102 11.932 0.000
## remembering 3.759 0.278 13.512 0.000
## emo_recog 0.836 0.079 10.516 0.000
## goal 3.374 0.257 13.107 0.000
## communicating 2.796 0.211 13.256 0.000
## thoughts 1.725 0.142 12.159 0.000
## experience 3.838 0.465 8.261 0.000
## agency 1.119 0.169 6.633 0.000Compare models (if possible)
# compare models (iff continuous and ML)
customVuong(d2_all_fitDD, d2_all_fitWDM, d2_all_fitGGW)## $mod1_v_mod2
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 95.810, p = 1.35e-08
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -79.288, p = 1
## H1B: Model 2 fits better than Model 1
## z = -79.288, p = < 2.2e-16
##
## $mod1_v_mod3
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 69.594, p = 1.38e-08
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -86.771, p = 1
## H1B: Model 2 fits better than Model 1
## z = -86.771, p = < 2.2e-16
##
## $mod3_v_mod2
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 21.765, p = 7.04e-09
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -11.194, p = 1
## H1B: Model 2 fits better than Model 1
## z = -11.194, p = < 2.2e-16
##
## $winner
## [1] "WDM"Study 3 (2016-01-10, 2 conditions, within-subjects)
Demographics
## Warning in mutate_impl(.data, dots): NAs introduced by coercion| did_not_finish | failed_catch_trial | did_not_provide_yob | too_young | TOTAL_excluded | TOTAL_participated | OVERALL_TOTAL |
|---|---|---|---|---|---|---|
| 13 | 7 | 4 | 0 | 24 | 400 | 424 |
| condition | n |
|---|---|
| beetle | 200 |
| robot | 200 |
| all | 200 |
| condition | min_duration | max_duration | median_duration | mean_duration | sd_duration |
|---|---|---|---|---|---|
| within-subjects | 1.33 | 36.43 | 5.46 | 6.44 | 3.92 |
| condition | min_age | max_age | median_age | mean_age | sd_age |
|---|---|---|---|---|---|
| within-subjects | 20 | 68 | 33 | 36.84 | 11.28 |
| condition | m | f | other |
|---|---|---|---|
| all | 202 | 198 | 0 |
| condition | asian_east | asian_south | black | hispanic | multiracial | white |
|---|---|---|---|---|---|---|
| all | 30 | 4 | 38 | 16 | 22 | 290 |
| condition | buddhism | christianity | islam | none | other | other_prefno |
|---|---|---|---|---|---|---|
| all | 10 | 176 | 6 | 190 | 6 | 12 |
Exploratory factor analysis
EFA: ALL conditions
Step 1: Determine how many factors to extract
Step 2: Run EFA without rotation
## Factor Analysis using method = minres
## Call: fa(r = d3_all, nfactors = nfactors_d3_all, rotate = "none", fm = "minres",
## cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 MR3 h2 u2 com
## happy 0.85 0.18 -0.12 0.77 0.23 1.1
## depressed 0.73 0.27 -0.28 0.69 0.31 1.6
## fear 0.84 -0.20 0.03 0.75 0.25 1.1
## angry 0.81 0.10 -0.14 0.69 0.31 1.1
## calm 0.81 0.06 0.05 0.66 0.34 1.0
## sounds 0.27 0.19 0.58 0.45 0.55 1.6
## seeing 0.38 0.03 0.54 0.43 0.57 1.8
## temperature 0.40 0.02 0.58 0.50 0.50 1.8
## odors 0.53 -0.10 0.42 0.47 0.53 2.0
## depth 0.34 0.24 0.46 0.38 0.62 2.4
## computations -0.51 0.68 0.04 0.72 0.28 1.9
## thoughts 0.79 0.19 0.08 0.67 0.33 1.1
## reasoning 0.27 0.63 0.25 0.54 0.46 1.7
## remembering 0.14 0.55 0.41 0.49 0.51 2.0
## beliefs 0.49 0.40 -0.20 0.44 0.56 2.3
## hungry 0.76 -0.53 0.08 0.87 0.13 1.8
## tired 0.83 -0.29 0.02 0.78 0.22 1.2
## pain 0.79 -0.45 0.08 0.84 0.16 1.6
## nauseated 0.81 -0.06 -0.09 0.66 0.34 1.0
## safe 0.78 -0.13 0.07 0.63 0.37 1.1
## love 0.78 0.24 -0.17 0.70 0.30 1.3
## recognizing 0.11 0.68 0.34 0.59 0.41 1.5
## communicating 0.14 0.47 0.40 0.40 0.60 2.1
## guilt 0.62 0.38 -0.31 0.63 0.37 2.2
## disrespected 0.63 0.36 -0.30 0.61 0.39 2.1
## free_will 0.81 -0.09 0.06 0.66 0.34 1.0
## choices 0.47 0.27 0.43 0.47 0.53 2.6
## self_restraint 0.55 0.36 -0.04 0.43 0.57 1.8
## intentions 0.69 0.04 0.21 0.52 0.48 1.2
## goal 0.37 0.32 0.38 0.39 0.61 2.9
## conscious 0.82 -0.07 0.07 0.68 0.32 1.0
## self_aware 0.72 0.13 0.04 0.54 0.46 1.1
## desires 0.86 -0.09 0.05 0.75 0.25 1.0
## embarrassed 0.59 0.36 -0.34 0.60 0.40 2.3
## emo_recog 0.52 0.50 -0.02 0.51 0.49 2.0
## joy 0.84 0.19 -0.16 0.76 0.24 1.2
## morality 0.31 0.56 0.02 0.41 0.59 1.6
## personality 0.62 0.43 0.02 0.57 0.43 1.8
## pleasure 0.87 -0.07 -0.05 0.76 0.24 1.0
## pride 0.66 0.36 -0.30 0.66 0.34 2.0
##
## MR1 MR2 MR3
## SS loadings 16.54 4.62 2.90
## Proportion Var 0.41 0.12 0.07
## Cumulative Var 0.41 0.53 0.60
## Proportion Explained 0.69 0.19 0.12
## Cumulative Proportion 0.69 0.88 1.00
##
## Mean item complexity = 1.6
## Test of the hypothesis that 3 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 34.22 with Chi Square of 13170.85
## The degrees of freedom for the model are 663 and the objective function was 3.58
##
## The root mean square of the residuals (RMSR) is 0.03
## The df corrected root mean square of the residuals is 0.03
##
## The harmonic number of observations is 400 with the empirical chi square 526.02 with prob < 1
## The total number of observations was 400 with MLE Chi Square = 1371.31 with prob < 1.4e-51
##
## Tucker Lewis Index of factoring reliability = 0.932
## RMSEA index = 0.054 and the 90 % confidence intervals are 0.048 0.056
## BIC = -2601.03
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy
## MR1 MR2 MR3
## Correlation of scores with factors 0.99 0.97 0.93
## Multiple R square of scores with factors 0.98 0.93 0.86
## Minimum correlation of possible factor scores 0.96 0.86 0.72Step 3: Run EFA with oblimin rotation
## Factor Analysis using method = minres
## Call: fa(r = d3_all, nfactors = nfactors_d3_all, rotate = "oblimin",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 MR3 h2 u2 com
## happy 0.68 0.30 0.08 0.77 0.23 1.4
## depressed 0.80 0.13 -0.07 0.69 0.31 1.1
## fear 0.30 0.67 0.09 0.75 0.25 1.4
## angry 0.62 0.35 0.03 0.69 0.31 1.6
## calm 0.44 0.42 0.21 0.66 0.34 2.4
## sounds -0.18 0.12 0.70 0.45 0.55 1.2
## seeing -0.20 0.31 0.62 0.43 0.57 1.7
## temperature -0.23 0.34 0.66 0.50 0.50 1.8
## odors -0.10 0.49 0.47 0.47 0.53 2.1
## depth -0.02 0.09 0.61 0.38 0.62 1.0
## computations 0.14 -0.89 0.21 0.72 0.28 1.2
## thoughts 0.50 0.30 0.27 0.67 0.33 2.3
## reasoning 0.37 -0.35 0.53 0.54 0.46 2.6
## remembering 0.11 -0.31 0.64 0.49 0.51 1.5
## beliefs 0.69 -0.11 0.02 0.44 0.56 1.1
## hungry 0.00 0.93 0.01 0.87 0.13 1.0
## tired 0.25 0.74 0.04 0.78 0.22 1.2
## pain 0.06 0.88 0.05 0.84 0.16 1.0
## nauseated 0.47 0.50 0.01 0.66 0.34 2.0
## safe 0.29 0.58 0.15 0.63 0.37 1.6
## love 0.72 0.20 0.04 0.70 0.30 1.2
## recognizing 0.24 -0.46 0.61 0.59 0.41 2.2
## communicating 0.07 -0.25 0.60 0.40 0.60 1.4
## guilt 0.83 -0.05 -0.07 0.63 0.37 1.0
## disrespected 0.82 -0.02 -0.07 0.61 0.39 1.0
## free_will 0.33 0.56 0.16 0.66 0.34 1.8
## choices 0.09 0.13 0.61 0.47 0.53 1.1
## self_restraint 0.57 -0.01 0.18 0.43 0.57 1.2
## intentions 0.24 0.41 0.34 0.52 0.48 2.6
## goal 0.11 0.01 0.57 0.39 0.61 1.1
## conscious 0.34 0.56 0.18 0.68 0.32 1.9
## self_aware 0.44 0.31 0.21 0.54 0.46 2.3
## desires 0.37 0.59 0.16 0.75 0.25 1.9
## embarrassed 0.83 -0.05 -0.12 0.60 0.40 1.1
## emo_recog 0.62 -0.14 0.25 0.51 0.49 1.4
## joy 0.70 0.28 0.04 0.76 0.24 1.3
## morality 0.52 -0.32 0.28 0.41 0.59 2.2
## personality 0.60 -0.02 0.28 0.57 0.43 1.4
## pleasure 0.47 0.55 0.07 0.76 0.24 2.0
## pride 0.84 0.00 -0.07 0.66 0.34 1.0
##
## MR1 MR2 MR3
## SS loadings 10.49 8.21 5.35
## Proportion Var 0.26 0.21 0.13
## Cumulative Var 0.26 0.47 0.60
## Proportion Explained 0.44 0.34 0.22
## Cumulative Proportion 0.44 0.78 1.00
##
## With factor correlations of
## MR1 MR2 MR3
## MR1 1.00 0.38 0.40
## MR2 0.38 1.00 0.16
## MR3 0.40 0.16 1.00
##
## Mean item complexity = 1.6
## Test of the hypothesis that 3 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 34.22 with Chi Square of 13170.85
## The degrees of freedom for the model are 663 and the objective function was 3.58
##
## The root mean square of the residuals (RMSR) is 0.03
## The df corrected root mean square of the residuals is 0.03
##
## The harmonic number of observations is 400 with the empirical chi square 526.02 with prob < 1
## The total number of observations was 400 with MLE Chi Square = 1371.31 with prob < 1.4e-51
##
## Tucker Lewis Index of factoring reliability = 0.932
## RMSEA index = 0.054 and the 90 % confidence intervals are 0.048 0.056
## BIC = -2601.03
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy
## MR1 MR2 MR3
## Correlation of scores with factors 0.98 0.98 0.95
## Multiple R square of scores with factors 0.96 0.96 0.90
## Minimum correlation of possible factor scores 0.92 0.93 0.81Factor 1
| F1 | |
|---|---|
| pride | 0.8355655 |
| guilt | 0.8343019 |
| embarrassed | 0.8294130 |
| disrespected | 0.8162977 |
| depressed | 0.7982484 |
| love | 0.7198466 |
| joy | 0.7022254 |
| beliefs | 0.6923427 |
| happy | 0.6817983 |
| emo_recog | 0.6246103 |
| angry | 0.6218072 |
| personality | 0.6045677 |
| self_restraint | 0.5661369 |
| morality | 0.5242637 |
| thoughts | 0.4997066 |
| nauseated | 0.4719554 |
| pleasure | 0.4663574 |
| self_aware | 0.4418902 |
| calm | 0.4395396 |
| reasoning | 0.3741904 |
| desires | 0.3698248 |
| conscious | 0.3424203 |
| free_will | 0.3343673 |
| fear | 0.3028950 |
| safe | 0.2853295 |
| tired | 0.2468717 |
| intentions | 0.2389793 |
| recognizing | 0.2380664 |
| computations | 0.1414391 |
| goal | 0.1149527 |
| remembering | 0.1149484 |
| choices | 0.0940551 |
| communicating | 0.0744099 |
| pain | 0.0643083 |
| hungry | 0.0028932 |
| depth | -0.0168866 |
| odors | -0.1049849 |
| sounds | -0.1848926 |
| seeing | -0.2004686 |
| temperature | -0.2296458 |
Factor 2
| F2 | |
|---|---|
| hungry | 0.9310065 |
| pain | 0.8783099 |
| tired | 0.7447308 |
| fear | 0.6737192 |
| desires | 0.5867782 |
| safe | 0.5828178 |
| free_will | 0.5581014 |
| conscious | 0.5551105 |
| pleasure | 0.5511893 |
| nauseated | 0.5017473 |
| odors | 0.4868042 |
| calm | 0.4248659 |
| intentions | 0.4054190 |
| angry | 0.3486169 |
| temperature | 0.3405954 |
| self_aware | 0.3149236 |
| seeing | 0.3090220 |
| happy | 0.3005960 |
| thoughts | 0.3005739 |
| joy | 0.2845572 |
| love | 0.2012057 |
| choices | 0.1280229 |
| depressed | 0.1263512 |
| sounds | 0.1155786 |
| depth | 0.0854566 |
| goal | 0.0130670 |
| pride | 0.0018078 |
| self_restraint | -0.0143414 |
| personality | -0.0224117 |
| disrespected | -0.0230586 |
| guilt | -0.0458504 |
| embarrassed | -0.0481279 |
| beliefs | -0.1117514 |
| emo_recog | -0.1441830 |
| communicating | -0.2518920 |
| remembering | -0.3145192 |
| morality | -0.3176953 |
| reasoning | -0.3525384 |
| recognizing | -0.4644066 |
| computations | -0.8882576 |
Factor 3
| F3 | |
|---|---|
| sounds | 0.7036938 |
| temperature | 0.6615971 |
| remembering | 0.6388390 |
| seeing | 0.6199357 |
| recognizing | 0.6120320 |
| depth | 0.6083815 |
| choices | 0.6074725 |
| communicating | 0.5954826 |
| goal | 0.5669244 |
| reasoning | 0.5268238 |
| odors | 0.4716850 |
| intentions | 0.3400562 |
| personality | 0.2810219 |
| morality | 0.2767068 |
| thoughts | 0.2744226 |
| emo_recog | 0.2475554 |
| self_aware | 0.2066225 |
| computations | 0.2058084 |
| calm | 0.2054790 |
| self_restraint | 0.1837816 |
| conscious | 0.1796148 |
| free_will | 0.1613377 |
| desires | 0.1601078 |
| safe | 0.1492822 |
| fear | 0.0891959 |
| happy | 0.0769024 |
| pleasure | 0.0686854 |
| pain | 0.0462202 |
| tired | 0.0435106 |
| joy | 0.0427298 |
| love | 0.0412117 |
| angry | 0.0291800 |
| beliefs | 0.0225511 |
| nauseated | 0.0139352 |
| hungry | 0.0056931 |
| pride | -0.0672287 |
| disrespected | -0.0675821 |
| depressed | -0.0720569 |
| guilt | -0.0744155 |
| embarrassed | -0.1246714 |
Confirmatory factor analysis
CFA: All conditions
ModelDD: Data-driven, three factors (MR1, MR2, MR3; see Study 1)
## lavaan (0.5-20) converged normally after 64 iterations
##
## Number of observations 400
##
## Estimator ML
## Minimum Function Test Statistic 3511.005
## Degrees of freedom 737
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 13689.925
## Degrees of freedom 780
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.785
## Tucker-Lewis Index (TLI) 0.773
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -28534.264
## Loglikelihood unrestricted model (H1) -26778.761
##
## Number of free parameters 83
## Akaike (AIC) 57234.528
## Bayesian (BIC) 57565.820
## Sample-size adjusted Bayesian (BIC) 57302.455
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.097
## 90 Percent Confidence Interval 0.094 0.100
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.131
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## MR1 =~
## embarrassed 1.000
## pride 1.328 0.084 15.794 0.000
## guilt 1.038 0.068 15.217 0.000
## love 1.566 0.092 16.953 0.000
## disrespected 1.074 0.071 15.123 0.000
## depressed 1.281 0.077 16.543 0.000
## beliefs 0.952 0.077 12.388 0.000
## emo_recog 1.183 0.092 12.817 0.000
## joy 1.743 0.099 17.684 0.000
## personality 1.493 0.105 14.218 0.000
## happy 1.786 0.100 17.925 0.000
## morality 0.869 0.096 9.071 0.000
## angry 1.727 0.104 16.531 0.000
## self_restraint 1.280 0.103 12.402 0.000
## thoughts 1.769 0.112 15.762 0.000
## self_aware 1.581 0.113 13.978 0.000
## MR2 =~
## hungry 1.000
## pain 0.949 0.046 20.781 0.000
## tired 0.941 0.043 21.950 0.000
## fear 0.918 0.042 22.011 0.000
## pleasure 0.817 0.038 21.760 0.000
## conscious 0.881 0.043 20.350 0.000
## free_will 0.837 0.042 19.809 0.000
## safe 0.794 0.041 19.185 0.000
## desires 0.836 0.038 22.227 0.000
## calm 0.752 0.040 18.950 0.000
## nauseated 0.693 0.036 19.292 0.000
## odors 0.526 0.046 11.414 0.000
## intentions 0.687 0.044 15.639 0.000
## MR3 =~
## remembering 1.000
## temperature 0.815 0.080 10.130 0.000
## recognizing 1.024 0.087 11.734 0.000
## seeing 0.729 0.077 9.530 0.000
## communicating 0.890 0.081 10.936 0.000
## sounds 0.742 0.068 10.898 0.000
## depth 0.896 0.083 10.818 0.000
## goal 0.985 0.088 11.149 0.000
## choices 0.936 0.084 11.137 0.000
## reasoning 0.974 0.085 11.481 0.000
## computations 0.353 0.105 3.371 0.001
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## MR1 ~~
## MR2 1.716 0.171 10.013 0.000
## MR3 0.608 0.089 6.815 0.000
## MR2 ~~
## MR3 1.040 0.193 5.380 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## embarrassed 0.776 0.057 13.529 0.000
## pride 0.977 0.074 13.283 0.000
## guilt 0.709 0.053 13.418 0.000
## love 0.925 0.072 12.879 0.000
## disrespected 0.779 0.058 13.437 0.000
## depressed 0.715 0.055 13.048 0.000
## beliefs 1.260 0.091 13.800 0.000
## emo_recog 1.745 0.127 13.761 0.000
## joy 0.860 0.069 12.458 0.000
## personality 1.932 0.142 13.593 0.000
## happy 0.812 0.066 12.269 0.000
## morality 2.470 0.176 13.997 0.000
## angry 1.304 0.100 13.053 0.000
## self_restraint 2.267 0.164 13.799 0.000
## thoughts 1.750 0.132 13.291 0.000
## self_aware 2.308 0.169 13.627 0.000
## hungry 2.458 0.187 13.128 0.000
## pain 1.937 0.149 12.983 0.000
## tired 1.478 0.117 12.647 0.000
## fear 1.387 0.110 12.626 0.000
## pleasure 1.162 0.091 12.709 0.000
## conscious 1.821 0.139 13.081 0.000
## free_will 1.831 0.139 13.190 0.000
## safe 1.863 0.140 13.299 0.000
## desires 1.093 0.087 12.548 0.000
## calm 1.747 0.131 13.336 0.000
## nauseated 1.389 0.105 13.281 0.000
## odors 3.569 0.256 13.949 0.000
## intentions 2.689 0.196 13.706 0.000
## remembering 2.317 0.187 12.361 0.000
## temperature 2.719 0.207 13.136 0.000
## recognizing 2.515 0.202 12.423 0.000
## seeing 2.635 0.198 13.312 0.000
## communicating 2.496 0.194 12.834 0.000
## sounds 1.758 0.137 12.851 0.000
## depth 2.629 0.204 12.885 0.000
## goal 2.850 0.224 12.738 0.000
## choices 2.585 0.203 12.744 0.000
## reasoning 2.489 0.198 12.569 0.000
## computations 7.133 0.507 14.070 0.000
## MR1 0.865 0.104 8.350 0.000
## MR2 5.173 0.516 10.034 0.000
## MR3 1.945 0.269 7.235 0.000ModelWDM: Theoretical, three factors (AFFECT, AUTONOMY, PERCEPTION; see Weisman et al., 2015)
## lavaan (0.5-20) converged normally after 50 iterations
##
## Number of observations 400
##
## Estimator ML
## Minimum Function Test Statistic 391.505
## Degrees of freedom 101
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 3807.455
## Degrees of freedom 120
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.921
## Tucker-Lewis Index (TLI) 0.906
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -11842.660
## Loglikelihood unrestricted model (H1) -11646.907
##
## Number of free parameters 35
## Akaike (AIC) 23755.320
## Bayesian (BIC) 23895.021
## Sample-size adjusted Bayesian (BIC) 23783.964
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.085
## 90 Percent Confidence Interval 0.076 0.094
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.069
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## affect =~
## happy 1.000
## depressed 0.652 0.033 19.860 0.000
## fear 1.101 0.053 20.924 0.000
## angry 0.970 0.040 24.032 0.000
## calm 1.017 0.046 21.902 0.000
## joy 0.972 0.036 27.273 0.000
## perception =~
## sounds 1.000
## seeing 1.109 0.096 11.575 0.000
## temperature 1.295 0.102 12.650 0.000
## odors 1.333 0.112 11.865 0.000
## depth 1.083 0.101 10.701 0.000
## autonomy =~
## free_will 1.000
## choices 0.666 0.055 12.057 0.000
## self_restraint 0.616 0.051 12.027 0.000
## intentions 0.913 0.058 15.710 0.000
## goal 0.574 0.059 9.665 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## affect ~~
## perception 0.906 0.133 6.832 0.000
## autonomy 2.727 0.250 10.891 0.000
## perception ~~
## autonomy 1.395 0.173 8.058 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## happy 0.647 0.063 10.310 0.000
## depressed 0.891 0.069 12.976 0.000
## fear 2.203 0.172 12.795 0.000
## angry 1.131 0.094 12.094 0.000
## calm 1.649 0.131 12.606 0.000
## joy 0.723 0.066 10.899 0.000
## sounds 1.477 0.128 11.542 0.000
## seeing 2.007 0.170 11.795 0.000
## temperature 1.742 0.167 10.433 0.000
## odors 2.598 0.226 11.515 0.000
## depth 2.604 0.210 12.426 0.000
## free_will 1.974 0.185 10.656 0.000
## choices 2.747 0.210 13.089 0.000
## self_restraint 2.365 0.181 13.097 0.000
## intentions 2.228 0.192 11.621 0.000
## goal 3.593 0.265 13.550 0.000
## affect 2.926 0.252 11.603 0.000
## perception 1.352 0.186 7.272 0.000
## autonomy 3.479 0.379 9.167 0.000ModelGGW: Theoretical, two factors (AGENCY, EXPERIENCE; see Gray et al., 2007)
## lavaan (0.5-20) converged normally after 46 iterations
##
## Number of observations 400
##
## Estimator ML
## Minimum Function Test Statistic 1456.993
## Degrees of freedom 134
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 5368.619
## Degrees of freedom 153
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.746
## Tucker-Lewis Index (TLI) 0.710
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -13320.986
## Loglikelihood unrestricted model (H1) -12592.489
##
## Number of free parameters 37
## Akaike (AIC) 26715.972
## Bayesian (BIC) 26863.656
## Sample-size adjusted Bayesian (BIC) 26746.253
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.157
## 90 Percent Confidence Interval 0.150 0.164
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.131
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## experience =~
## hungry 1.000
## fear 0.990 0.056 17.669 0.000
## pain 0.969 0.061 15.954 0.000
## pleasure 0.927 0.050 18.567 0.000
## angry 0.793 0.046 17.154 0.000
## desires 0.931 0.050 18.465 0.000
## personality 0.565 0.048 11.890 0.000
## conscious 0.974 0.057 17.198 0.000
## pride 0.490 0.038 12.870 0.000
## embarrassed 0.360 0.031 11.591 0.000
## joy 0.760 0.044 17.375 0.000
## agency =~
## self_restraint 1.000
## morality 0.750 0.078 9.623 0.000
## remembering 0.620 0.089 6.980 0.000
## emo_recog 0.929 0.078 11.858 0.000
## goal 0.855 0.095 8.970 0.000
## communicating 0.581 0.086 6.727 0.000
## thoughts 1.266 0.099 12.835 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## experience ~~
## agency 1.984 0.229 8.655 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## hungry 3.432 0.258 13.328 0.000
## fear 1.631 0.131 12.455 0.000
## pain 2.657 0.202 13.154 0.000
## pleasure 1.009 0.086 11.750 0.000
## angry 1.244 0.098 12.725 0.000
## desires 1.064 0.090 11.852 0.000
## personality 2.519 0.183 13.788 0.000
## conscious 1.850 0.146 12.705 0.000
## pride 1.494 0.109 13.693 0.000
## embarrassed 1.098 0.079 13.813 0.000
## joy 1.062 0.084 12.618 0.000
## self_restraint 2.011 0.168 11.985 0.000
## morality 2.182 0.167 13.033 0.000
## remembering 3.618 0.264 13.688 0.000
## emo_recog 1.512 0.130 11.658 0.000
## goal 3.514 0.265 13.249 0.000
## communicating 3.472 0.253 13.727 0.000
## thoughts 1.778 0.174 10.210 0.000
## experience 4.199 0.490 8.576 0.000
## agency 1.673 0.236 7.096 0.000Compare models (if possible)
# compare models (iff continuous and ML)
customVuong(d3_all_fitDD, d3_all_fitWDM, d3_all_fitGGW)## $mod1_v_mod2
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 96.893, p = 9.06e-09
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -84.785, p = 1
## H1B: Model 2 fits better than Model 1
## z = -84.785, p = < 2.2e-16
##
## $mod1_v_mod3
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 62.081, p = <2e-16
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -96.541, p = 1
## H1B: Model 2 fits better than Model 1
## z = -96.541, p = < 2.2e-16
##
## $mod3_v_mod2
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 27.619, p = 3.18e-08
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -14.065, p = 1
## H1B: Model 2 fits better than Model 1
## z = -14.065, p = < 2.2e-16
##
## $winner
## [1] "WDM"Study 4 (2016-01-14, 21 conditions, between-subjects)
Demographics
| did_not_finish | failed_catch_trial | did_not_provide_yob | too_young | TOTAL_excluded | TOTAL_participated | OVERALL_TOTAL |
|---|---|---|---|---|---|---|
| 15 | 24 | 1 | 0 | 40 | 431 | 471 |
| condition | n |
|---|---|
| adult | 21 |
| bear | 20 |
| beetle | 19 |
| bluejay | 20 |
| car | 23 |
| child | 20 |
| chimpanzee | 21 |
| computer | 22 |
| dog | 24 |
| dolphin | 22 |
| elephant | 21 |
| fetus | 20 |
| fish | 20 |
| frog | 21 |
| goat | 20 |
| infant | 19 |
| microbe | 20 |
| mouse | 18 |
| pvs | 21 |
| robot | 22 |
| stapler | 17 |
| all | 431 |
| condition | min_duration | max_duration | median_duration | mean_duration | sd_duration |
|---|---|---|---|---|---|
| adult | 1.20 | 41.08 | 2.57 | 6.99 | 11.38 |
| bear | 1.65 | 8.07 | 3.53 | 3.84 | 1.78 |
| beetle | 1.40 | 4.70 | 2.78 | 2.82 | 0.92 |
| bluejay | 1.68 | 12.95 | 3.50 | 4.21 | 2.78 |
| car | 0.62 | 28.50 | 2.22 | 3.47 | 5.57 |
| child | 1.57 | 7.02 | 3.15 | 3.56 | 1.45 |
| chimpanzee | 2.08 | 5.88 | 3.48 | 3.61 | 1.31 |
| computer | 1.30 | 21.77 | 2.75 | 4.33 | 4.39 |
| dog | 1.80 | 7.97 | 2.79 | 3.11 | 1.59 |
| dolphin | 0.70 | 11.18 | 2.96 | 3.93 | 2.42 |
| elephant | 1.27 | 5.08 | 2.47 | 2.87 | 1.04 |
| fetus | 1.42 | 12.33 | 2.72 | 3.40 | 2.35 |
| fish | 1.35 | 7.97 | 3.37 | 3.40 | 1.65 |
| frog | 1.80 | 32.23 | 3.52 | 6.31 | 6.80 |
| goat | 1.63 | 9.17 | 3.38 | 4.20 | 2.57 |
| infant | 1.78 | 45.18 | 4.05 | 6.06 | 9.65 |
| microbe | 1.02 | 42.28 | 2.73 | 4.69 | 8.92 |
| mouse | 1.50 | 7.92 | 3.40 | 3.78 | 1.76 |
| pvs | 1.13 | 7.58 | 2.22 | 2.72 | 1.54 |
| robot | 1.72 | 22.15 | 3.38 | 4.43 | 4.24 |
| stapler | 1.17 | 13.17 | 1.67 | 2.92 | 2.86 |
| all | 0.62 | 45.18 | 2.88 | 4.03 | 4.76 |
## Joining by: c("condition", "min_age", "max_age", "median_age", "mean_age", "sd_age")## Warning: joining character vector and factor, coercing into character
## vector| condition | min_age | max_age | median_age | mean_age | sd_age |
|---|---|---|---|---|---|
| adult | 22 | 55 | 30.0 | 30.86 | 7.83 |
| bear | 20 | 64 | 35.5 | 35.75 | 11.74 |
| beetle | 21 | 45 | 30.0 | 30.37 | 5.22 |
| bluejay | 24 | 60 | 35.0 | 38.20 | 11.00 |
| car | 21 | 55 | 34.0 | 33.96 | 9.47 |
| child | 22 | 68 | 33.5 | 36.25 | 12.13 |
| chimpanzee | 22 | 57 | 35.0 | 36.48 | 10.88 |
| computer | 23 | 59 | 34.0 | 35.14 | 11.15 |
| dog | 19 | 61 | 30.5 | 33.42 | 11.10 |
| dolphin | 24 | 65 | 33.5 | 37.82 | 11.74 |
| elephant | 22 | 66 | 34.0 | 40.24 | 13.51 |
| fetus | 21 | 70 | 31.0 | 34.30 | 10.85 |
| fish | 21 | 66 | 33.5 | 36.65 | 12.77 |
| frog | 24 | 60 | 34.0 | 36.86 | 9.66 |
| goat | 18 | 64 | 30.0 | 34.90 | 12.93 |
| infant | 22 | 54 | 32.0 | 34.42 | 9.11 |
| microbe | 20 | 58 | 32.5 | 37.75 | 12.37 |
| mouse | 21 | 59 | 40.5 | 39.89 | 11.93 |
| pvs | 24 | 65 | 34.0 | 35.24 | 9.59 |
| robot | 23 | 59 | 40.5 | 41.91 | 11.27 |
| stapler | 22 | 70 | 34.0 | 36.41 | 12.08 |
| all | 18 | 70 | 34.0 | 36.03 | 11.11 |
| condition | m | f | other |
|---|---|---|---|
| adult | 16 | 5 | 0 |
| bear | 9 | 11 | 0 |
| beetle | 11 | 8 | 0 |
| bluejay | 5 | 15 | 0 |
| car | 12 | 11 | 0 |
| child | 10 | 9 | 1 |
| chimpanzee | 13 | 8 | 0 |
| computer | 11 | 11 | 0 |
| dog | 14 | 10 | 0 |
| dolphin | 12 | 10 | 0 |
| elephant | 7 | 14 | 0 |
| fetus | 13 | 7 | 0 |
| fish | 9 | 11 | 0 |
| frog | 12 | 9 | 0 |
| goat | 9 | 11 | 0 |
| infant | 12 | 6 | 1 |
| microbe | 11 | 9 | 0 |
| mouse | 8 | 9 | 1 |
| pvs | 11 | 10 | 0 |
| robot | 8 | 14 | 0 |
| stapler | 10 | 7 | 0 |
| all | 223 | 205 | 3 |
| condition | asian_east | asian_other | asian_south | black | hispanic | middle_eastern | multiracial | native_american | other_prefno | white |
|---|---|---|---|---|---|---|---|---|---|---|
| adult | 1 | 1 | 0 | 4 | 0 | 1 | 0 | 0 | 0 | 14 |
| bear | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 16 |
| beetle | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 16 |
| bluejay | 0 | 0 | 1 | 3 | 0 | 0 | 1 | 0 | 0 | 15 |
| car | 2 | 0 | 1 | 0 | 2 | 0 | 1 | 0 | 0 | 17 |
| child | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 17 |
| chimpanzee | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 18 |
| computer | 0 | 0 | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 18 |
| dog | 2 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 19 |
| dolphin | 2 | 1 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 16 |
| elephant | 0 | 1 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 17 |
| fetus | 1 | 0 | 0 | 0 | 4 | 0 | 2 | 0 | 0 | 13 |
| fish | 2 | 0 | 0 | 3 | 1 | 0 | 0 | 0 | 0 | 14 |
| frog | 2 | 0 | 0 | 1 | 3 | 0 | 0 | 0 | 0 | 15 |
| goat | 1 | 0 | 0 | 3 | 1 | 0 | 1 | 0 | 0 | 14 |
| infant | 1 | 0 | 0 | 2 | 0 | 0 | 1 | 0 | 1 | 14 |
| microbe | 2 | 0 | 0 | 1 | 0 | 0 | 3 | 0 | 1 | 13 |
| mouse | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 16 |
| pvs | 2 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 17 |
| robot | 1 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 18 |
| stapler | 1 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 13 |
| all | 26 | 4 | 4 | 26 | 20 | 1 | 16 | 1 | 3 | 330 |
| condition | some_HS | HS_diploma | some_college | associates | bachelors | some_grad | grad | pref_no |
|---|---|---|---|---|---|---|---|---|
| adult | 0 | 1 | 5 | 0 | 7 | 3 | 5 | 0 |
| bear | 1 | 1 | 7 | 7 | 3 | 1 | 0 | 0 |
| beetle | 0 | 3 | 3 | 4 | 6 | 1 | 2 | 0 |
| bluejay | 0 | 2 | 3 | 2 | 9 | 2 | 2 | 0 |
| car | 1 | 0 | 7 | 4 | 7 | 1 | 3 | 0 |
| child | 0 | 1 | 6 | 1 | 7 | 1 | 3 | 1 |
| chimpanzee | 0 | 1 | 12 | 0 | 5 | 0 | 2 | 1 |
| computer | 0 | 2 | 6 | 2 | 9 | 1 | 2 | 0 |
| dog | 0 | 3 | 5 | 1 | 10 | 1 | 4 | 0 |
| dolphin | 0 | 4 | 4 | 3 | 6 | 3 | 2 | 0 |
| elephant | 0 | 2 | 5 | 3 | 7 | 0 | 4 | 0 |
| fetus | 0 | 2 | 9 | 4 | 4 | 1 | 0 | 0 |
| fish | 0 | 3 | 5 | 1 | 6 | 3 | 2 | 0 |
| frog | 0 | 2 | 7 | 1 | 7 | 1 | 3 | 0 |
| goat | 1 | 3 | 5 | 5 | 5 | 0 | 1 | 0 |
| infant | 0 | 2 | 2 | 2 | 8 | 0 | 3 | 2 |
| microbe | 0 | 4 | 3 | 2 | 9 | 1 | 1 | 0 |
| mouse | 0 | 1 | 5 | 2 | 7 | 0 | 3 | 0 |
| pvs | 0 | 1 | 4 | 3 | 9 | 2 | 1 | 1 |
| robot | 0 | 3 | 3 | 2 | 10 | 1 | 3 | 0 |
| stapler | 0 | 0 | 5 | 2 | 5 | 0 | 5 | 0 |
| all | 3 | 41 | 111 | 51 | 146 | 23 | 51 | 5 |
Exploratory factor analysis
EFA: ALL conditions
Step 1: Determine how many factors to extract
Step 2: Run EFA without rotation
## Factor Analysis using method = minres
## Call: fa(r = d4_all, nfactors = nfactors_d4_all, rotate = "none", fm = "minres",
## cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR1 MR2 MR3 h2 u2 com
## happy 0.89 0.00 -0.21 0.84 0.16 1.1
## depressed 0.80 0.23 -0.12 0.71 0.29 1.2
## fear 0.87 -0.31 -0.07 0.86 0.14 1.3
## angry 0.87 0.00 -0.10 0.76 0.24 1.0
## calm 0.87 -0.14 -0.11 0.79 0.21 1.1
## sounds 0.71 -0.25 0.45 0.77 0.23 2.0
## seeing 0.78 -0.26 0.33 0.79 0.21 1.6
## temperature 0.65 -0.25 0.44 0.68 0.32 2.1
## odors 0.80 -0.19 0.22 0.73 0.27 1.3
## depth 0.68 0.04 0.42 0.65 0.35 1.7
## computations 0.15 0.60 0.45 0.58 0.42 2.0
## thoughts 0.84 0.06 -0.05 0.72 0.28 1.0
## reasoning 0.68 0.41 0.25 0.70 0.30 1.9
## remembering 0.72 0.13 0.44 0.73 0.27 1.7
## beliefs 0.63 0.58 -0.09 0.73 0.27 2.0
## hungry 0.82 -0.40 -0.09 0.83 0.17 1.5
## tired 0.89 -0.32 -0.10 0.90 0.10 1.3
## pain 0.85 -0.38 -0.11 0.88 0.12 1.4
## nauseated 0.83 -0.06 -0.14 0.72 0.28 1.1
## safe 0.87 -0.16 -0.06 0.78 0.22 1.1
## love 0.85 0.12 -0.22 0.78 0.22 1.2
## recognizing 0.78 0.03 0.27 0.68 0.32 1.2
## communicating 0.73 -0.01 0.42 0.71 0.29 1.6
## guilt 0.71 0.51 -0.15 0.79 0.21 1.9
## disrespected 0.70 0.47 -0.09 0.73 0.27 1.8
## free_will 0.82 -0.01 0.01 0.67 0.33 1.0
## choices 0.77 0.04 0.37 0.72 0.28 1.4
## self_restraint 0.71 0.42 0.11 0.69 0.31 1.7
## intentions 0.80 0.09 0.10 0.65 0.35 1.1
## goal 0.64 0.15 0.34 0.55 0.45 1.7
## conscious 0.82 -0.09 -0.01 0.69 0.31 1.0
## self_aware 0.75 0.25 0.05 0.62 0.38 1.2
## desires 0.88 -0.03 -0.07 0.78 0.22 1.0
## embarrassed 0.68 0.53 -0.17 0.76 0.24 2.0
## emo_recog 0.74 0.40 0.01 0.71 0.29 1.5
## joy 0.90 0.04 -0.18 0.84 0.16 1.1
## morality 0.66 0.55 0.02 0.74 0.26 1.9
## personality 0.89 0.07 -0.08 0.80 0.20 1.0
## pleasure 0.92 -0.16 -0.10 0.87 0.13 1.1
## pride 0.79 0.37 -0.13 0.77 0.23 1.5
##
## MR1 MR2 MR3
## SS loadings 24.24 3.41 2.04
## Proportion Var 0.61 0.09 0.05
## Cumulative Var 0.61 0.69 0.74
## Proportion Explained 0.82 0.11 0.07
## Cumulative Proportion 0.82 0.93 1.00
##
## Mean item complexity = 1.4
## Test of the hypothesis that 3 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 52.07 with Chi Square of 21651.8
## The degrees of freedom for the model are 663 and the objective function was 5.43
##
## The root mean square of the residuals (RMSR) is 0.02
## The df corrected root mean square of the residuals is 0.03
##
## The harmonic number of observations is 431 with the empirical chi square 412.62 with prob < 1
## The total number of observations was 431 with MLE Chi Square = 2246.7 with prob < 5.9e-171
##
## Tucker Lewis Index of factoring reliability = 0.91
## RMSEA index = 0.077 and the 90 % confidence intervals are 0.071 0.078
## BIC = -1775.13
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy
## MR1 MR2 MR3
## Correlation of scores with factors 1.00 0.97 0.94
## Multiple R square of scores with factors 0.99 0.94 0.88
## Minimum correlation of possible factor scores 0.98 0.87 0.76Step 3: Run EFA with oblimin rotation
## Factor Analysis using method = minres
## Call: fa(r = d4_all, nfactors = nfactors_d4_all, rotate = "oblimin",
## fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
## MR2 MR1 MR3 h2 u2 com
## happy 0.45 0.62 0.03 0.84 0.16 1.8
## depressed 0.61 0.33 0.05 0.71 0.29 1.6
## fear 0.05 0.74 0.25 0.86 0.14 1.2
## angry 0.39 0.52 0.15 0.76 0.24 2.0
## calm 0.25 0.64 0.18 0.79 0.21 1.5
## sounds -0.19 0.22 0.84 0.77 0.23 1.2
## seeing -0.12 0.36 0.71 0.79 0.21 1.5
## temperature -0.21 0.19 0.81 0.68 0.32 1.2
## odors 0.02 0.39 0.57 0.73 0.27 1.8
## depth 0.11 0.00 0.74 0.65 0.35 1.0
## computations 0.48 -0.72 0.48 0.58 0.42 2.6
## thoughts 0.42 0.42 0.19 0.72 0.28 2.4
## reasoning 0.59 -0.15 0.43 0.70 0.30 2.0
## remembering 0.22 -0.07 0.75 0.73 0.27 1.2
## beliefs 0.90 -0.05 -0.04 0.73 0.27 1.0
## hungry -0.05 0.79 0.23 0.83 0.17 1.2
## tired 0.07 0.77 0.23 0.90 0.10 1.2
## pain -0.01 0.81 0.21 0.88 0.12 1.1
## nauseated 0.33 0.58 0.10 0.72 0.28 1.7
## safe 0.21 0.61 0.23 0.78 0.22 1.5
## love 0.56 0.51 -0.03 0.78 0.22 2.0
## recognizing 0.22 0.17 0.57 0.68 0.32 1.5
## communicating 0.08 0.06 0.76 0.71 0.29 1.0
## guilt 0.89 0.08 -0.07 0.79 0.21 1.0
## disrespected 0.82 0.07 0.01 0.73 0.27 1.0
## free_will 0.31 0.41 0.28 0.67 0.33 2.7
## choices 0.17 0.09 0.69 0.72 0.28 1.2
## self_restraint 0.67 -0.04 0.28 0.69 0.31 1.3
## intentions 0.37 0.26 0.36 0.65 0.35 2.8
## goal 0.26 -0.05 0.59 0.55 0.45 1.4
## conscious 0.24 0.50 0.27 0.69 0.31 2.0
## self_aware 0.54 0.15 0.24 0.62 0.38 1.6
## desires 0.35 0.53 0.20 0.78 0.22 2.1
## embarrassed 0.90 0.07 -0.12 0.76 0.24 1.0
## emo_recog 0.71 0.07 0.16 0.71 0.29 1.1
## joy 0.48 0.57 0.06 0.84 0.16 2.0
## morality 0.83 -0.10 0.11 0.74 0.26 1.1
## personality 0.47 0.46 0.17 0.80 0.20 2.3
## pleasure 0.25 0.66 0.20 0.87 0.13 1.5
## pride 0.76 0.22 0.01 0.77 0.23 1.2
##
## MR2 MR1 MR3
## SS loadings 11.04 9.91 8.74
## Proportion Var 0.28 0.25 0.22
## Cumulative Var 0.28 0.52 0.74
## Proportion Explained 0.37 0.33 0.29
## Cumulative Proportion 0.37 0.71 1.00
##
## With factor correlations of
## MR2 MR1 MR3
## MR2 1.00 0.41 0.55
## MR1 0.41 1.00 0.53
## MR3 0.55 0.53 1.00
##
## Mean item complexity = 1.6
## Test of the hypothesis that 3 factors are sufficient.
##
## The degrees of freedom for the null model are 780 and the objective function was 52.07 with Chi Square of 21651.8
## The degrees of freedom for the model are 663 and the objective function was 5.43
##
## The root mean square of the residuals (RMSR) is 0.02
## The df corrected root mean square of the residuals is 0.03
##
## The harmonic number of observations is 431 with the empirical chi square 412.62 with prob < 1
## The total number of observations was 431 with MLE Chi Square = 2246.7 with prob < 5.9e-171
##
## Tucker Lewis Index of factoring reliability = 0.91
## RMSEA index = 0.077 and the 90 % confidence intervals are 0.071 0.078
## BIC = -1775.13
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy
## MR2 MR1 MR3
## Correlation of scores with factors 0.98 0.99 0.98
## Multiple R square of scores with factors 0.97 0.97 0.95
## Minimum correlation of possible factor scores 0.94 0.94 0.91Factor 1
| F1 | |
|---|---|
| embarrassed | 0.9018816 |
| beliefs | 0.8968680 |
| guilt | 0.8901290 |
| morality | 0.8342636 |
| disrespected | 0.8198717 |
| pride | 0.7632293 |
| emo_recog | 0.7145727 |
| self_restraint | 0.6669838 |
| depressed | 0.6121355 |
| reasoning | 0.5933422 |
| love | 0.5649503 |
| self_aware | 0.5413943 |
| computations | 0.4784656 |
| joy | 0.4769566 |
| personality | 0.4679081 |
| happy | 0.4495767 |
| thoughts | 0.4249871 |
| angry | 0.3924566 |
| intentions | 0.3659627 |
| desires | 0.3514439 |
| nauseated | 0.3307287 |
| free_will | 0.3128684 |
| goal | 0.2580309 |
| calm | 0.2485633 |
| pleasure | 0.2461668 |
| conscious | 0.2420620 |
| recognizing | 0.2227127 |
| remembering | 0.2172967 |
| safe | 0.2117204 |
| choices | 0.1735503 |
| depth | 0.1122530 |
| communicating | 0.0848394 |
| tired | 0.0654121 |
| fear | 0.0517524 |
| odors | 0.0156964 |
| pain | -0.0058140 |
| hungry | -0.0451910 |
| seeing | -0.1164145 |
| sounds | -0.1932636 |
| temperature | -0.2062295 |
Factor 2
| F2 | |
|---|---|
| pain | 0.8113911 |
| hungry | 0.7932834 |
| tired | 0.7738048 |
| fear | 0.7411343 |
| pleasure | 0.6615801 |
| calm | 0.6355742 |
| happy | 0.6169317 |
| safe | 0.6101309 |
| nauseated | 0.5822653 |
| joy | 0.5668870 |
| desires | 0.5272103 |
| angry | 0.5216222 |
| love | 0.5092261 |
| conscious | 0.4967620 |
| personality | 0.4557715 |
| thoughts | 0.4219388 |
| free_will | 0.4130935 |
| odors | 0.3894383 |
| seeing | 0.3558002 |
| depressed | 0.3294201 |
| intentions | 0.2595619 |
| sounds | 0.2187783 |
| pride | 0.2170787 |
| temperature | 0.1885972 |
| recognizing | 0.1714859 |
| self_aware | 0.1496946 |
| choices | 0.0868195 |
| guilt | 0.0836874 |
| embarrassed | 0.0746788 |
| disrespected | 0.0655174 |
| emo_recog | 0.0651278 |
| communicating | 0.0580091 |
| depth | -0.0010363 |
| self_restraint | -0.0422123 |
| goal | -0.0486536 |
| beliefs | -0.0511137 |
| remembering | -0.0672345 |
| morality | -0.1044385 |
| reasoning | -0.1545878 |
| computations | -0.7202885 |
Factor 3
| F3 | |
|---|---|
| sounds | 0.8369067 |
| temperature | 0.8106029 |
| communicating | 0.7600327 |
| remembering | 0.7534883 |
| depth | 0.7368329 |
| seeing | 0.7106448 |
| choices | 0.6902574 |
| goal | 0.5918000 |
| recognizing | 0.5711083 |
| odors | 0.5695787 |
| computations | 0.4784963 |
| reasoning | 0.4331923 |
| intentions | 0.3611253 |
| self_restraint | 0.2784143 |
| free_will | 0.2781228 |
| conscious | 0.2670766 |
| fear | 0.2544704 |
| self_aware | 0.2415665 |
| hungry | 0.2290513 |
| safe | 0.2286487 |
| tired | 0.2265862 |
| pain | 0.2082285 |
| pleasure | 0.2039622 |
| desires | 0.1951531 |
| thoughts | 0.1913144 |
| calm | 0.1756957 |
| personality | 0.1693344 |
| emo_recog | 0.1572589 |
| angry | 0.1501175 |
| morality | 0.1108815 |
| nauseated | 0.1028601 |
| joy | 0.0555248 |
| depressed | 0.0520425 |
| happy | 0.0255363 |
| pride | 0.0076356 |
| disrespected | 0.0057781 |
| love | -0.0306122 |
| beliefs | -0.0419920 |
| guilt | -0.0698411 |
| embarrassed | -0.1159230 |
Confirmatory factor analysis
CFA: ALL conditions
ModelDD: Data-driven, three factors (MR1, MR2, MR3; see Study 1)
## lavaan (0.5-20) converged normally after 51 iterations
##
## Number of observations 431
##
## Estimator ML
## Minimum Function Test Statistic 4957.970
## Degrees of freedom 737
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 22441.501
## Degrees of freedom 780
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.805
## Tucker-Lewis Index (TLI) 0.794
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -29599.404
## Loglikelihood unrestricted model (H1) -27120.419
##
## Number of free parameters 83
## Akaike (AIC) 59364.807
## Bayesian (BIC) 59702.294
## Sample-size adjusted Bayesian (BIC) 59438.900
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.115
## 90 Percent Confidence Interval 0.112 0.118
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.089
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## MR1 =~
## embarrassed 1.000
## pride 1.189 0.057 20.758 0.000
## guilt 1.040 0.054 19.288 0.000
## love 1.330 0.062 21.566 0.000
## disrespected 1.019 0.055 18.429 0.000
## depressed 1.256 0.062 20.213 0.000
## beliefs 0.889 0.053 16.837 0.000
## emo_recog 1.029 0.053 19.242 0.000
## joy 1.429 0.065 22.100 0.000
## personality 1.369 0.062 21.913 0.000
## happy 1.404 0.065 21.739 0.000
## morality 0.938 0.054 17.312 0.000
## angry 1.352 0.066 20.544 0.000
## self_restraint 0.971 0.055 17.522 0.000
## thoughts 1.242 0.063 19.817 0.000
## self_aware 1.062 0.060 17.765 0.000
## MR2 =~
## hungry 1.000
## pain 1.022 0.034 29.734 0.000
## tired 1.044 0.033 31.768 0.000
## fear 1.031 0.033 30.949 0.000
## pleasure 1.028 0.033 31.326 0.000
## conscious 0.899 0.037 24.159 0.000
## free_will 0.823 0.036 22.977 0.000
## safe 0.939 0.034 27.758 0.000
## desires 0.936 0.035 26.924 0.000
## calm 0.942 0.033 28.435 0.000
## nauseated 0.913 0.037 24.396 0.000
## odors 0.849 0.038 22.644 0.000
## intentions 0.786 0.038 20.761 0.000
## MR3 =~
## remembering 1.000
## temperature 0.836 0.043 19.455 0.000
## recognizing 1.023 0.046 22.054 0.000
## seeing 1.095 0.049 22.464 0.000
## communicating 1.016 0.045 22.776 0.000
## sounds 0.942 0.043 21.855 0.000
## depth 0.954 0.048 19.873 0.000
## goal 0.851 0.050 17.045 0.000
## choices 1.029 0.046 22.200 0.000
## reasoning 0.782 0.046 16.830 0.000
## computations 0.358 0.055 6.535 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## MR1 ~~
## MR2 2.971 0.258 11.497 0.000
## MR3 2.230 0.208 10.719 0.000
## MR2 ~~
## MR3 3.397 0.293 11.579 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## embarrassed 1.478 0.105 14.113 0.000
## pride 1.166 0.085 13.664 0.000
## guilt 1.287 0.092 13.976 0.000
## love 1.158 0.086 13.400 0.000
## disrespected 1.500 0.106 14.101 0.000
## depressed 1.500 0.109 13.799 0.000
## beliefs 1.601 0.112 14.267 0.000
## emo_recog 1.273 0.091 13.984 0.000
## joy 1.128 0.086 13.162 0.000
## personality 1.101 0.083 13.252 0.000
## happy 1.224 0.092 13.329 0.000
## morality 1.616 0.114 14.224 0.000
## angry 1.597 0.116 13.720 0.000
## self_restraint 1.655 0.117 14.203 0.000
## thoughts 1.620 0.117 13.882 0.000
## self_aware 1.881 0.133 14.178 0.000
## hungry 1.336 0.098 13.618 0.000
## pain 1.075 0.081 13.300 0.000
## tired 0.800 0.063 12.744 0.000
## fear 0.900 0.069 13.001 0.000
## pleasure 0.839 0.065 12.889 0.000
## conscious 1.818 0.129 14.051 0.000
## free_will 1.783 0.126 14.142 0.000
## safe 1.217 0.089 13.652 0.000
## desires 1.360 0.099 13.766 0.000
## calm 1.110 0.082 13.546 0.000
## nauseated 1.818 0.130 14.031 0.000
## odors 1.983 0.140 14.165 0.000
## intentions 2.175 0.152 14.278 0.000
## remembering 1.411 0.108 13.059 0.000
## temperature 1.596 0.117 13.680 0.000
## recognizing 1.524 0.116 13.108 0.000
## seeing 1.618 0.125 12.985 0.000
## communicating 1.314 0.102 12.883 0.000
## sounds 1.338 0.102 13.164 0.000
## depth 1.936 0.142 13.607 0.000
## goal 2.472 0.176 14.012 0.000
## choices 1.499 0.115 13.066 0.000
## reasoning 2.165 0.154 14.036 0.000
## computations 4.060 0.278 14.608 0.000
## MR1 2.363 0.243 9.717 0.000
## MR2 4.963 0.421 11.792 0.000
## MR3 3.422 0.319 10.736 0.000## Warning in lav_data_full(data = data, group = group, group.label =
## group.label, : lavaan WARNING: unordered factor(s) with more than 2 levels
## detected in data: subid## Warning in lav_partable_check(lavpartable, categorical = categorical, warn
## = TRUE): lavaan WARNING: parameter table does not contain thresholds## Loading required package: proto
ModelWDM: Theoretical, three factors (AFFECT, AUTONOMY, PERCEPTION; see Weisman et al., 2015)
## lavaan (0.5-20) converged normally after 50 iterations
##
## Number of observations 431
##
## Estimator ML
## Minimum Function Test Statistic 699.397
## Degrees of freedom 101
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 7057.942
## Degrees of freedom 120
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.914
## Tucker-Lewis Index (TLI) 0.898
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -12281.509
## Loglikelihood unrestricted model (H1) -11931.810
##
## Number of free parameters 35
## Akaike (AIC) 24633.017
## Bayesian (BIC) 24775.331
## Sample-size adjusted Bayesian (BIC) 24664.261
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.117
## 90 Percent Confidence Interval 0.109 0.126
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.057
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## affect =~
## happy 1.000
## depressed 0.808 0.034 23.676 0.000
## fear 0.943 0.034 27.927 0.000
## angry 0.946 0.032 29.776 0.000
## calm 0.913 0.031 29.827 0.000
## joy 1.008 0.028 35.957 0.000
## perception =~
## sounds 1.000
## seeing 1.177 0.045 26.103 0.000
## temperature 0.905 0.041 22.316 0.000
## odors 1.114 0.046 24.067 0.000
## depth 0.939 0.048 19.465 0.000
## autonomy =~
## free_will 1.000
## choices 1.023 0.046 22.189 0.000
## self_restraint 0.758 0.044 17.403 0.000
## intentions 1.028 0.047 21.949 0.000
## goal 0.856 0.049 17.385 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## affect ~~
## perception 3.186 0.277 11.511 0.000
## autonomy 3.677 0.309 11.906 0.000
## perception ~~
## autonomy 2.902 0.254 11.409 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## happy 0.802 0.072 11.064 0.000
## depressed 1.909 0.139 13.704 0.000
## fear 1.655 0.126 13.141 0.000
## angry 1.372 0.107 12.808 0.000
## calm 1.273 0.099 12.797 0.000
## joy 0.788 0.072 10.942 0.000
## sounds 1.061 0.091 11.677 0.000
## seeing 1.128 0.105 10.761 0.000
## temperature 1.275 0.101 12.648 0.000
## odors 1.455 0.122 11.971 0.000
## depth 2.126 0.159 13.375 0.000
## free_will 1.541 0.127 12.135 0.000
## choices 1.348 0.116 11.625 0.000
## self_restraint 1.810 0.135 13.449 0.000
## intentions 1.431 0.122 11.778 0.000
## goal 2.311 0.172 13.453 0.000
## affect 5.084 0.400 12.708 0.000
## perception 3.313 0.294 11.259 0.000
## autonomy 3.605 0.342 10.540 0.000## Warning in lav_data_full(data = data, group = group, group.label =
## group.label, : lavaan WARNING: unordered factor(s) with more than 2 levels
## detected in data: subid## Warning in lav_partable_check(lavpartable, categorical = categorical, warn
## = TRUE): lavaan WARNING: parameter table does not contain thresholds
ModelGGW: Theoretical, two factors (AGENCY, EXPERIENCE; see Gray et al., 2007)
## lavaan (0.5-20) converged normally after 42 iterations
##
## Number of observations 431
##
## Estimator ML
## Minimum Function Test Statistic 1653.966
## Degrees of freedom 134
## P-value (Chi-square) 0.000
##
## Model test baseline model:
##
## Minimum Function Test Statistic 8749.306
## Degrees of freedom 153
## P-value 0.000
##
## User model versus baseline model:
##
## Comparative Fit Index (CFI) 0.823
## Tucker-Lewis Index (TLI) 0.798
##
## Loglikelihood and Information Criteria:
##
## Loglikelihood user model (H0) -13782.271
## Loglikelihood unrestricted model (H1) -12955.288
##
## Number of free parameters 37
## Akaike (AIC) 27638.543
## Bayesian (BIC) 27788.989
## Sample-size adjusted Bayesian (BIC) 27671.572
##
## Root Mean Square Error of Approximation:
##
## RMSEA 0.162
## 90 Percent Confidence Interval 0.155 0.169
## P-value RMSEA <= 0.05 0.000
##
## Standardized Root Mean Square Residual:
##
## SRMR 0.083
##
## Parameter Estimates:
##
## Information Expected
## Standard Errors Standard
##
## Latent Variables:
## Estimate Std.Err Z-value P(>|z|)
## experience =~
## hungry 1.000
## fear 1.047 0.044 23.972 0.000
## pain 1.030 0.045 23.047 0.000
## pleasure 1.098 0.041 26.543 0.000
## angry 1.020 0.043 23.796 0.000
## desires 1.013 0.042 24.228 0.000
## personality 0.997 0.041 24.245 0.000
## conscious 0.955 0.044 21.559 0.000
## pride 0.771 0.041 18.909 0.000
## embarrassed 0.595 0.040 14.786 0.000
## joy 1.056 0.042 25.189 0.000
## agency =~
## self_restraint 1.000
## morality 0.913 0.055 16.657 0.000
## remembering 1.099 0.062 17.798 0.000
## emo_recog 0.996 0.054 18.371 0.000
## goal 1.016 0.064 15.872 0.000
## communicating 1.076 0.062 17.297 0.000
## thoughts 1.227 0.063 19.419 0.000
##
## Covariances:
## Estimate Std.Err Z-value P(>|z|)
## experience ~~
## agency 2.862 0.256 11.199 0.000
##
## Variances:
## Estimate Std.Err Z-value P(>|z|)
## hungry 1.922 0.140 13.774 0.000
## fear 1.381 0.104 13.296 0.000
## pain 1.615 0.119 13.535 0.000
## pleasure 0.807 0.067 12.065 0.000
## angry 1.362 0.102 13.346 0.000
## desires 1.223 0.093 13.217 0.000
## personality 1.181 0.089 13.211 0.000
## conscious 1.837 0.133 13.817 0.000
## pride 1.904 0.135 14.137 0.000
## embarrassed 2.291 0.159 14.411 0.000
## joy 1.069 0.083 12.856 0.000
## self_restraint 1.453 0.113 12.888 0.000
## morality 1.672 0.125 13.387 0.000
## remembering 1.896 0.146 13.022 0.000
## emo_recog 1.366 0.107 12.790 0.000
## goal 2.442 0.180 13.584 0.000
## communicating 2.029 0.154 13.196 0.000
## thoughts 1.612 0.132 12.242 0.000
## experience 4.377 0.411 10.638 0.000
## agency 2.430 0.251 9.675 0.000## Warning in lav_data_full(data = data, group = group, group.label =
## group.label, : lavaan WARNING: unordered factor(s) with more than 2 levels
## detected in data: subid## Warning in lav_partable_check(lavpartable, categorical = categorical, warn
## = TRUE): lavaan WARNING: parameter table does not contain thresholds
Compare models (if possible)
# compare models (iff continuous and ML)
customVuong(d4_all_fitDD, d4_all_fitWDM, d4_all_fitGGW)## $mod1_v_mod2
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 82.669, p = <2e-16
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -91.746, p = 1
## H1B: Model 2 fits better than Model 1
## z = -91.746, p = < 2.2e-16
##
## $mod1_v_mod3
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 69.012, p = 3.9e-09
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -91.712, p = 1
## H1B: Model 2 fits better than Model 1
## z = -91.712, p = < 2.2e-16
##
## $mod3_v_mod2
##
## Model 1
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
## Model 2
## Class: lavaan
## Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,
##
##
## Variance test
## H0: Model 1 and Model 2 are indistinguishable
## H1: Model 1 and Model 2 are distinguishable
## w2 = 16.197, p = <2e-16
##
## Non-nested likelihood ratio test
## H0: Model fits are equal for the focal population
## H1A: Model 1 fits better than Model 2
## z = -17.962, p = 1
## H1B: Model 2 fits better than Model 1
## z = -17.962, p = < 2.2e-16
##
## $winner
## [1] "WDM"